Question

1/2x(2x-4)^2

answer is not 2x(x−2)2

Answer 1

If you meant:

(1/2)x(2x-4)^2
= (1/2)(x)( 2(x-2) )^2
= (1/2)(x)(2^2)(x-2)^2
= (1/2)(x)(4)(x-2)^2

= 2x(x-2)^2 ----> that answer was correct
or
2x^3 - 8x^2 + 8