Need help help me guys,

Question

asked Oct 15, 2021 121k views

1 Answer

AndrewF · Answer 1 · 2021-10-19T15:53:45+0000

Hello!

$\large\boxed{x + 2}$

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

The denominators are equal, so we can simply combine the numerator:

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

Combine like terms in the numerator:

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

Factor out 2 from the entire fraction:

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

Cancel out 2 from both the numerator and denominator:

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

Factor the numerator to simplify further:

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

Cancel out x - 1:

x + 2