RD SHARMA Solutions for Class 9 Maths Chapter 4 - Algebraic Identities

Chapter 4 - Algebraic Identities Exercise Ex. 4.1

Question 1(i)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1(i)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1(ii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1(ii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1(iii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1(iii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1(iv)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1(iv)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1(v)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1(v)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 2(i)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 2(i)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 2(ii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 2(ii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 2(iii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 2(iii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 2(iv)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 2(iv)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 3(i)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 3(i)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 3(ii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 3(ii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 3(iii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 3(iii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 3(iv)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 3(iv)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 4
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 4
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 5
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 5
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 6
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 6
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 7

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 7

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 8

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 8

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 9

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 9

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 10(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 10(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 10(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 10(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 11

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 11

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 12

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 12

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 13(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 13(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 13(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 13(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 13(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 13(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 13(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 13(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 14

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 14

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Chapter 4 - Algebraic Identities Exercise Ex. 4.2

Question 1(i)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1(i)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1(ii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1(ii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1(iii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1(iii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1(iv)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1(iv)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1(v)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1(v)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1(vi)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1(vi)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1(vii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1(vii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1(viii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1(viii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1(ix)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1(ix)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1 (x)
Write the following in the expanded form:

(x + 2y + 4z)2
Solution 1 (x)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1 (xi)
Write the following in the expanded form:

(2x - y + z)2
Solution 1 (xi)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1 (xii)
Write the following in the expanded form:

(-2x + 3y + 2z)2
Solution 1 (xii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 2

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 2

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 3

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 3

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 4

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 4

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 5

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 5

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 6(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 6(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 6(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 6(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 6(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 6(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 6(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 6(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 6(v)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 6(v)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 7(i)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 7(i)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 7(ii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 7(ii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 7(iii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 7(iii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Chapter 4 - Algebraic Identities Exercise Ex. 4.3

Question 1(i)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1(i)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1(ii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1(ii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1(iii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1(iii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1(iv)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1(iv)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 2

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 2

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 3

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 3

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 4

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 4

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 5

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 5

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 6

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 6

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 7

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 7

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 8

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 8

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 9

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 9

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 10

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 10

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 11(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 11(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 11(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 11(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 11(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 11(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 11(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 11(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 11(v)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 11(v)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 11(vi)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 11(vi)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 12(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 12(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 12(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 12(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 12(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 12(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 12(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 12(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 13

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 13

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 14(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 14(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 14(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 14(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 15

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 15

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 16

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 16

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 17(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 17(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 17(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 17(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 17(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 17(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 17(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 17(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 18

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 18

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 19

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 19

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Chapter 4 - Algebraic Identities Exercise Ex. 4.4

Question 1 (i)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1 (i)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1 (ii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1 (ii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1 (iii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1 (iii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1 (iv)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1 (iv)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1 (v)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1 (v)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1 (vi)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1 (vi)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1 (vii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1 (vii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1 (viii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1 (viii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1 (ix)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1 (ix)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1 (x)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1 (x)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1 (xi)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1 (xi)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1 (xii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1 (xii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 2 (i)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 2 (i)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 2 (ii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 2 (ii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 2 (iii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 2 (iii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 2 (iv)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 2 (iv)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 2 (v)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 2 (v)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 3
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 3
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 4
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 4
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 5
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 5
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 6 (iii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 6 (iii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 6 (i)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 6 (i)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 6 (ii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 6 (ii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Chapter 4 - Algebraic Identities Exercise Ex. 4.5

Question 1 (i)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1 (i)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1 (ii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1 (ii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1 (iii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1 (iii)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 1 (iv)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Solution 1 (iv)
Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities
Question 2(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 2(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 2(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 2(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 2(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 2(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 2(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 2(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 3

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 3

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 4

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 4

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 5

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 5

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Chapter 4 - Algebraic Identities Exercise 4.30

Question 1

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 1

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 2

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 2

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 3

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 3

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 4

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 4

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 5

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 5

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 6

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 6

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 7

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 7

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 8

If a + b + c = 9 and ab + bc + ca = 23, then a+ b+ c2 =

(a) 35

(b) 58

(c) 127

(d) none of these

Solution 8

We know that (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)

Here, a + b + c = 9, ab + bc + ca = 23

Thus, we have

(9)2 = a2 + b2 + c2 + 2(23)

81 = a2 + b2 + c2 + 46

a2 + b2 + c2 = 81 - 46

a2 + b2 + c2 = 35

Hence, correct option is (a).

Question 9

(a - b)3 + (b - c)3 + (c - a)3 =

(a) (a + b + c)(a2 + b2 + c2 - ab - bc - ca)

(b) (a - b)(b - c)( c - a)

(c) 3(a - b)(b - c)(c - a)

(d) none of these

Solution 9

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 10

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 10

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 11

If a - b = -8 and ab = -12, then a3 - b3 =

(a) -244

(b) -240

(c) -224

(d) -260

Solution 11

a - b = -8

(a - b)2 = 64

a2 + b2 - 2ab = 64

a2 + b2 - 2ab + 3ab = 64 + 3ab

a2 + b2 + ab = 64 + 3(-12)

a2 + b2 + ab = 64 - 36

a2 + b2 + ab = 28

Now a3 - b3 = (a - b)(a2 + b2 + ab)

                 = (-8)(28)

                 = -224

Hence, correct option is (c).

Chapter 4 - Algebraic Identities Exercise 4.31

Question 12

If the volume of a cuboid is 3x2 - 27, then its possible dimensions are

(a) 3, x2, -27x

(b) 3, x - 3, x + 3

(c) 3, x2, 27x

(d) 3, 3, 3

Solution 12

Volume of a cuboid of side a, b and c = abc

Now, Volume = 3x2 - 27    (given)

abc = 3(x2 - 9)

abc = 3(x - 3)(x + 3)

So, possible dimensions are 3, x - 3 and x + 3

Hence, correct option is (b).

Question 13

75 × 75 + 2 × 75 × 25 + 25 × 25 is equal to

(a) 10000

(b) 6250

(c) 7500

(d) 3750

Solution 13

Given expression is 75 × 75 + 2 × 75 × 25 + 25 × 25

Let 75 = a and 25 = b

Then, we have

× a + 2 × a × b + b × b

a2 + 2ab + b2

= (a + b)2

= (75 + 25)2

= (100)2

= 10000

Hence, correct option is (a).

Question 14

(x - y)( x + y)(x2 + y2)(x4 + y4) is equal to

(a) x16 - y16

(b) x8 - y8

(c) x8 + y8

(d) x16 + y16

Solution 14

(x - y)(x + y) = x2 - y2  [by identity (a + b)(a - b) = a2 - b2]

(x2 - y2)(x2 + y2) = x4 - y4

(x4 - y4)(x4 + y4) = x8 - y8

Now,

(x - y)(x + y)(x2 + y2)(x4 + y4)

= (x2 - y2)(x2 + y2)(x4 + y4)

= (x4 - y4)(x4 + y4)

= x8 - y8

Hence, correct option is (b).

Question 15

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 15

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 16

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 16

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 17

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 17

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 18

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 18

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 19

If a2 + b2 + c2 - ab - bc - ca = 0, then

(a) a + b = c

(b) b + c = a

(c) c + a = b

(d) a = b = c

Solution 19

a2 + b2 + c2 - ab - bc - ca = 0

Multiplying by 2 on both the sides, we have

2(a2 + b2 + c2 - ab - bc - ca) = 0

2a+ 2b2 + 2c2 - 2ab - 2bc - 2ca = 0

a2 + a2 + b2 + b2 + c+ c2 - 2ab - 2bc - 2ca = 0

(a2 + b2 - 2ab) + (b2 + c2 - 2bc) + (a2 + c2 - 2ac) = 0

(a - b)2 + (b - c)2 + (a - c)2 = 0

(a - b)2 = 0(b - c)2 = 0, (a - c)2 = 0

(a - b) = 0(b - c) = 0, (a - c) = 0

a = b, b = c, a = c

or we can say a = b = c

Hence, correct option is (d).

Question 20

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 20

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 21

If a1/3 + b1/3 + c1/3 = 0, then

(a) a + b + c = 0

(b) (a + b + c)3 = 27abc

(c) a + b + c = 3abc

(d) a3 + b3 + c3 = 0

Solution 21

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 22

If a + b + c = 9 and ab + bc + ca = 23, then a+ b+ c3 - 3abc =

(a) 108

(b) 207

(c) 669

(d) 729

Solution 22

Given, a + b + c = 9

Hence, (a + b + c)2 = 81

So, a2 + b2 + c2 + 2ab + 2bc + 2ca = 81

i.e. a2 + b2 + c2 + 2(ab + bc + ca) = 81

i.e. a2 + b2 + c2 + 2(23) = 81

i.e. a2 + b2 + c2 = 81 - 46 = 35

Now, a3 + b3 + c3 - 3abc

= (a + b + c)(a2 + b2 + c2 - ab - bc - ca)

= (a + b + c)[(a2 + b2 + c2) - (ab + bc + ca)]

= (9)[35 - 23]

= 9 × 12

= 108

Hence, correct option is (a).

Question 23

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 23

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Chapter 4 - Algebraic Identities Exercise 4.32

Question 24

The product (a + b)(a - b)(a2 - ab + b2) (a2 + ab + b2) is equal to

(a) a6 + b6

(b) a6 - b6

(c) a3 - b3

(d) a3 + b3

Solution 24

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 25

The product (x2 - 1)(x4 + x2 + 1) is equal to

(a) x8 - 1

(b) x8 + 1

(c) x6 - 1

(d) x6 + 1

Solution 25

Given expression is (x2 - 1)(x4 + x2 + 1)

Let x2 = A and 1 = B

Then, we have

(A - B)(A2 + AB + B2)

= A3 - B3

= (x2)3 - (1)3

= x6 - 1

Hence, correct option is (c).

Question 26

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 26

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Question 27

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities

Solution 27

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Algebraic Identities