Regular engagement with OP Malhotra Class 9 Solutions Chapter 4 Factorisation Ex 4(A) can boost students confidence in the subject.

## S Chand Class 9 ICSE Maths Solutions Chapter 4 Factorisation Ex 4(A)

Factorise :

Question 1.

8x + 16y

Solution:

8x + 16y – 8 (x – 2y)

Question 2.

ax – 2ay

Solution:

ax – 2ay = a (x – 2y)

Question 3.

25xy – 50y

Solution:

15xy – 50y = 25y (x – 2)

(H.C.F. of 25, 50 = 25)

Question 4.

abc – ac

Solution:

abc – ac = ac (b – 1)

Question 5.

– 121 – 11m²

Solution:

– 121 w – 11m²

= 11 m (- 11 – m) (H.C.F. of 121, 11, = 11)

Question 6.

a²b + ab²

Solution:

a²b + ab² = ab (a + b)

Question 7.

24x³y – 30x²y

Solution:

24x³y – 30x²y = 6x²y (4x – 5)

(H.C.F. of 24, 30 = 6)

Question 8.

– 9x³ – 12x² + 3x

Solution:

– 9x³ – 12x² + 3x = – 3x (3x² + 4x – 1)

(H.C.F. of 9, 12, 3 = 3)

Question 9.

25a²bc³ – 35ab²c³ + 45a³bc²

Solution:

25a²bc³ – 35ab²c³ + 45a³bc²

(H.C.F. of 25, 35, 45 = 5)

= 5abc² (5ac – 7bc + 9a²)

Question 10.

– x – y – z

Solution:

– x – y – z = – 1 (x + y + z)

Question 11.

x(x – y) + (x – y)

Solution:

x (x – y) + (x – y) – (x – y) (x + 1)

Question 12.

(x + y) – (x + y)²

Solution:

(x + y) – (x + y)² = (x + y) – (x + y) (x + y)

= (x + y) (1 – x – y) .

Question 13.

a (x – y) – b (y – x)

Solution:

a (x – y) – b (y – x) = a (x – y) + b (x – y) = (x – y) (a + b)

Question 14.

(a – b)^{4} + (a – b)³

Solution:

(a – b)^{4} + (a – b)³ = (a – b)³ [(a – b) + 1 ]

= (a – b)³ (a – b + 1)

Question 15.

(x – y)^{6} + (y – x)^{5}

Solution:

(x – y)^{6} + (y – x)^{5} = (x – y)^{6} – (x – y)^{5}

= (x – y)^{5} (x – y – 1)