Question

Factorise the following using the Difference of Two Squares or Perfect Squares rule: a) (2x-2)^2 - (x+4)^2 b) (3x+4) (3x-4)

Answer 1

Explanation:

Hello, please consider the following.

a)

`(2x-2)^2 - (x+4)^2 \\\\=(2x-2-(x+4))(2x-2+x+4)\\\\=(2x-2-x-4)(3x+2)\\\\=\boxed{(x-6)(3x+2)}`

b)

`(3x+4) (3x-4)\\\\=(3x)^2-4^2\\\\=\boxed{9x^2-16}`

Thank you.