Question

Need help help me guys,​

Answer 1

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`