Question

Factorise by using regrouping method:
a) ax+bx-ay-by
b) 15pq+15+9q+25p.​

Answer 1

Answer:

Factorisation using identities and factors in the form of (x +a) (x+b) are ... (iii) ax + bx − ay − by = a × x + b × x − a × y − b × y ... (iv) 15pq + 15 + 9q + 25p = 15pq + 9q + 25p + 15.

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Answer 2

Answer:

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

b) (3q+5) (5p+3)

Step-by-step explanation:

a) ax+bx-ay-by

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

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

b) 15pq+15+9q+25p

=> 15pq+25p+9q+15

=> 5p(3q+5) + 3(3q+5)

=> (3q+5) (5p+3)