Question

36(a+b)²-16(a-b)I,factorise​

Answer 1

Step-by-step explanation:

36(a+b)²-16(a-b)

[6(a+b)]² - [4(a-b)]²

using identity, x²-y²=(x+y)(x-y)

[6(a+b)+4(a-b)][6(a+b)-4(a-b)]

[ 6a+6b +4a-4b][6a+6b -4a+4b]

(10a+2b)(2a+10b)

on further simplification

2(5a+b) ×2(a+5b)

4(5a +b)(a+5b)