What is (x-2)/(3x+15)*(x^2-1)/(x^2-x-2) ?

The solution to (x-2)/(3x+15)*(x^2-1)/(x^2-x-2) is (x-1)/(3x+15)

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simplify (x-2)/(3x+15)*(x^2-1)/(x^2-x-2)

simplify

\frac{x - 2}{3 x + 15} \cdot \frac{x ^{2} - 1}{x ^{2} - x - 2}

\frac{x - 1}{3 x + 15}

Solution steps

\frac{x - 2}{3 x + 15} \cdot \frac{x ^{2} - 1}{x ^{2} - x - 2}

Cancel

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

= \frac{x - 2}{3 x + 15} \cdot \frac{x - 1}{x - 2}

Cross-cancel common factor:

x - 2

= \frac{x - 1}{3 x + 15}

(x - 9) (x - 9)

\frac{2 x + 14}{x ^{2} + 15 x + 56} \cdot \frac{x ^{2} + 3 x - 40}{6 x}

\frac{45 a ^{2} b}{30 ab}

10 lo g_{10} (\frac{1}{1 0 ^{- 12}})

\frac{( 4 x ^{2} - 4 ) ( 12 x ^{2} - 6 x - 6 )}{2 x ^{3} - 2}

What is (x-2)/(3x+15)*(x^2-1)/(x^2-x-2) ?
The solution to (x-2)/(3x+15)*(x^2-1)/(x^2-x-2) is (x-1)/(3x+15)