Question

4(a+b)^2-9(a-b)^2 factorise step by step ans please​

Answer 1

see the attached document

Answer 2

Answer:

(5a-b) (5b-a)

Step-by-step explanation:

given expressions is 4(a+b)^2-9(a-b)^2

by using identify a^2-b^2= (a+b) (a-b)

it can be factorised as 4(a+b)^2-9(a-b)^2

= [(2(a+b))^2-(3(a-b))^2]

=[2(a+b)+3(a-b)] [2(a+b)-3(a-b)]

=[2a+2b+3a-3b] [2a+2b-3a+3b]

=(5a-b) (5b-a)

thus factor are 5a-b,5b-a