Question

factotise: 16(x+y)^2 - 25(x-y)^2​

Answer 1

Step-by-step explanation:

4^2(x+y)^2 - 5^2(x-y)2

= (4(x+y))^2 - (5(x-y))^2

This is in the form a^2-b^2 = (a-b)(a+b)

So,

a= 4(x+y)

b = 5(x-y)

(4(x+y) - 5(x-y)) (4(x+y) + 5(x-y))