Question

Simplify fully
4x^2+4x/2x^2-2

Answer 1

the answer i got is 2 (x+1) (2x^2-2x+1) / x :)

Answer 2

`(2x)/(x-1)`

Explanation:

`(4x^2+4x)/(2x^2-2)` ← factor numerator and denominator

=
`(4x(x+1))/(2(x^2-1))` ← cancel 4 and 2 on numerator/denominator by 2

=
`(2x(x+1))/(x^2-1)` ← x² - 1 is a difference of squares

=
`(2x(x+1))/((x-1)(x+1))` ← cancel (x + 1) on numerator and denominator

=
`(2x)/(x-1)`