Question

factorize 144(a-b)²-256(a-b)²​

Answer 1

Answer:

Given : 144(a-b)²-256(a-b)²​ is in the form a^2-b^2

144 = 12*12

256 = 16*16

a^2-b^2 = (a+b)(a-b)

On comparing, a = 12(a-b), and b = 16(a-b)

=> 144(a-b)²-256(a-b)²​ = (12(a-b)+16(a-b))(12(a-b)-16(a-b))

=>-4*28*(a-b)*(a-b)

Can be written in any format you want

Answer 2

Answer:

take (a-b)^2 as common.