Which expression is equivalent to 2x^2+2x-4/2x^2-4x+2

A) x+2/x-1

B) x+2

C) - 2

D) x+2/x-2

You need to factor the numerator and denominator ...

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

(2x (x+2) - 2 (x+2)) / (2x (x-1) - 2 (x-1))

((2x-2) (x+2)) / ((2x-2) (x-1)) so the (2x-2) s cancel out leaving

(x+2) / (x-1)