What is (x^2-5x-36)/(8x+32)*(x-7)/(x^2-16x+63) ?

The solution to (x^2-5x-36)/(8x+32)*(x-7)/(x^2-16x+63) is 1/8

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simplify (x^2-5x-36)/(8x+32)*(x-7)/(x^2-16x+63)

simplify

\frac{x ^{2} - 5 x - 36}{8 x + 32} \cdot \frac{x - 7}{x ^{2} - 16 x + 63}

\frac{1}{8}

Solution steps

\frac{x ^{2} - 5 x - 36}{8 x + 32} \cdot \frac{x - 7}{x ^{2} - 16 x + 63}

Cancel

\frac{x ^{2} - 5 x - 36}{8 x + 32} : \frac{x - 9}{8}

= \frac{x - 9}{8} \cdot \frac{x - 7}{x ^{2} - 16 x + 63}

Cancel

\frac{x - 7}{x ^{2} - 16 x + 63} : \frac{1}{x - 9}

= \frac{x - 9}{8} \cdot \frac{1}{x - 9}

Cross-cancel common factor:

x - 9

= \frac{1}{8}

3 \frac{1}{6}

(x^{2} - 4 x)^{2}

9 - \frac{1}{3}

t [\frac{t - 1}{t + 4}]

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

What is (x^2-5x-36)/(8x+32)*(x-7)/(x^2-16x+63) ?
The solution to (x^2-5x-36)/(8x+32)*(x-7)/(x^2-16x+63) is 1/8