Question

Factorise (i) (a-b)^2 + (a-b)
(ii) ax + ay - bx -by

Answer 1

Answer:

(i)  (a - b) (a - b + 1)

(ii) (x + y)(a - b)

Step-by-step explanation:

Question (i):

(a-b)² + (a-b)

Take out common factor (a - b)

= (a - b) (a - b + 1)

Question (ii):

ax + ay - bx -by

Take out common factor a and b:

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

Take out common factor (x + y)

= (x + y)(a - b)

Answer: (i)  (a - b) (a - b + 1) (ii) (x + y)(a - b)

Answer 2

(i) (a-b)²+(a-b)
=(a-b)(a-b+1)

(ii) ax+ay-bx-by
=a(x+y)-b(x+y)
=(x+y)(a-b)