What is (x-9)/(x^2-17x+72)*(x^2-64)/(6x+48) ?

The solution to (x-9)/(x^2-17x+72)*(x^2-64)/(6x+48) is 1/6

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simplify (x-9)/(x^2-17x+72)*(x^2-64)/(6x+48)

simplify

\frac{x - 9}{x ^{2} - 17 x + 72} \cdot \frac{x ^{2} - 64}{6 x + 48}

\frac{1}{6}

Decimal Notation

0.16666 \dots

Solution steps

\frac{x - 9}{x ^{2} - 17 x + 72} \cdot \frac{x ^{2} - 64}{6 x + 48}

Cancel

\frac{x - 9}{x ^{2} - 17 x + 72} : \frac{1}{x - 8}

= \frac{1}{x - 8} \cdot \frac{x ^{2} - 64}{6 x + 48}

Cancel

\frac{x ^{2} - 64}{6 x + 48} : \frac{x - 8}{6}

= \frac{1}{x - 8} \cdot \frac{x - 8}{6}

Cross-cancel common factor:

x - 8

= \frac{1}{6}

(- 66) (10 - 30)

36 x^{4} - 28 x^{2}

26 \cdot 6

26 \cdot 5

\frac{1}{20}

What is (x-9)/(x^2-17x+72)*(x^2-64)/(6x+48) ?
The solution to (x-9)/(x^2-17x+72)*(x^2-64)/(6x+48) is 1/6