Simplify x(x+1) x-2 +x(1-x) x-2 - Vidyadip

Question

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

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Answer

$\begin{aligned} & \frac{x(x+1)}{x-2}+\frac{x(1-x)}{x-2}=\frac{x(x+1)+x(1-x)}{x-2} \\ & =\frac{x^2+x+x-x^2}{x-2} \\ & =\frac{2 x}{x-2}\end{aligned}$

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