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azamat
2 years ago
6

Need help help me guys,​

Mathematics
1 answer:
Ganezh [65]2 years ago
8 0

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

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