What is (x^2-x-2)/(x+1)*(x^2+3x)/(x^2+x-6) ?

The solution to (x^2-x-2)/(x+1)*(x^2+3x)/(x^2+x-6) is x

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simplify (x^2-x-2)/(x+1)*(x^2+3x)/(x^2+x-6)

simplify

\frac{x ^{2} - x - 2}{x + 1} \cdot \frac{x ^{2} + 3 x}{x ^{2} + x - 6}

x

Solution steps

\frac{x ^{2} - x - 2}{x + 1} \cdot \frac{x ^{2} + 3 x}{x ^{2} + x - 6}

Cancel

\frac{x ^{2} - x - 2}{x + 1} : x - 2

= (x - 2) \frac{x ^{2} + 3 x}{x ^{2} + x - 6}

Cancel

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

= (x - 2) \frac{x}{x - 2}

Cross-cancel common factor:

x - 2

= x

(2 x^{3} + \frac{1}{x})^{29}

(6) (4 - 9)

\frac{a ^{6} - b ^{6}}{a - b}

\frac{- 26 a ^{5} b ^{6}}{- 13 b ^{3}}

- 63

What is (x^2-x-2)/(x+1)*(x^2+3x)/(x^2+x-6) ?
The solution to (x^2-x-2)/(x+1)*(x^2+3x)/(x^2+x-6) is x