Final Answer
$\frac{x}{\left(x+1\right)\left(x-2\right)}$
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Step-by-step Solution
Specify the solving method
1
Multiplying the fraction by $2x+4$
$\frac{\frac{x^2\left(2x+4\right)}{x^2-4}}{2x^2+2x}$
Learn how to solve polynomial long division problems step by step online.
$\frac{\frac{x^2\left(2x+4\right)}{x^2-4}}{2x^2+2x}$
Learn how to solve polynomial long division problems step by step online. Simplify the expression ((x^2)/(x^2-4)(2x+4))/(2x^2+2x). Multiplying the fraction by 2x+4. Divide fractions \frac{\frac{x^2\left(2x+4\right)}{x^2-4}}{2x^2+2x} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. Factor the polynomial \left(2x^2+2x\right) by it's greatest common factor (GCF): 2x. Simplify the fraction \frac{x^2\left(2x+4\right)}{2\left(x^2-4\right)x\left(x+1\right)} by x.
Final Answer
$\frac{x}{\left(x+1\right)\left(x-2\right)}$