What is (x^2-x-6)/(x^2+2x)*(x^3+x^2)/(x^2-2x-3) ?

The solution to (x^2-x-6)/(x^2+2x)*(x^3+x^2)/(x^2-2x-3) is x

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simplify (x^2-x-6)/(x^2+2x)*(x^3+x^2)/(x^2-2x-3)

simplify

\frac{x ^{2} - x - 6}{x ^{2} + 2 x} \cdot \frac{x ^{3} + x ^{2}}{x ^{2} - 2 x - 3}

x

Solution steps

\frac{x ^{2} - x - 6}{x ^{2} + 2 x} \cdot \frac{x ^{3} + x ^{2}}{x ^{2} - 2 x - 3}

Cancel

\frac{x ^{2} - x - 6}{x ^{2} + 2 x} : \frac{x - 3}{x}

= \frac{x - 3}{x} \cdot \frac{x ^{3} + x ^{2}}{x ^{2} - 2 x - 3}

Cancel

\frac{x ^{3} + x ^{2}}{x ^{2} - 2 x - 3} : \frac{x ^{2}}{x - 3}

= \frac{x - 3}{x} \cdot \frac{x ^{2}}{x - 3}

Cross-cancel common factor:

x - 3

= \frac{x ^{2}}{x}

Cancel

\frac{x ^{2}}{x} : x

= x

\frac{1}{2} \cdot 3 \cdot 4

48 - 23

(2 x - 3) (3 x^{2} + 2 x - 1)

tan^{2} (θ) + 1

\frac{\frac{3}{4} + \frac{7}{8}}{\frac{2}{5} - \frac{8}{9}}

What is (x^2-x-6)/(x^2+2x)*(x^3+x^2)/(x^2-2x-3) ?
The solution to (x^2-x-6)/(x^2+2x)*(x^3+x^2)/(x^2-2x-3) is x