Question

Need help help me guys,​

Answer 1

Hello!

$\large\boxed{x + 2}$

$\frac{2x^{2} +x}{2x-2} + \frac{x-4}{2x-2}$

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

$\frac{2x^{2} +x+ x - 4}{2x-2}$

Combine like terms in the numerator:

$\frac{2x^{2} +2x - 4}{2x-2}$

Factor out 2 from the entire fraction:

$\frac{2(x^{2} +x - 2)}{2(x-1)}$

Cancel out 2 from both the numerator and denominator:

$\frac{x^{2} +x - 2}{x-1}$

Factor the numerator to simplify further:

$\frac{(x + 2)(x - 1)}{x-1}$

Cancel out x - 1:

$x + 2$