What is (9x+72)/(x^2+10x+16)*(x^2-7x-18)/(x-9) ?

The solution to (9x+72)/(x^2+10x+16)*(x^2-7x-18)/(x-9) is 9

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simplify (9x+72)/(x^2+10x+16)*(x^2-7x-18)/(x-9)

simplify

\frac{9 x + 72}{x ^{2} + 10 x + 16} \cdot \frac{x ^{2} - 7 x - 18}{x - 9}

9

Solution steps

\frac{9 x + 72}{x ^{2} + 10 x + 16} \cdot \frac{x ^{2} - 7 x - 18}{x - 9}

Cancel

\frac{9 x + 72}{x ^{2} + 10 x + 16} : \frac{9}{x + 2}

= \frac{9}{x + 2} \cdot \frac{x ^{2} - 7 x - 18}{x - 9}

Cancel

\frac{x ^{2} - 7 x - 18}{x - 9} : x + 2

= \frac{9}{x + 2} (x + 2)

Cross-cancel common factor:

x + 2

= 9

(x - 4) (x - 4) (x - 4)

\frac{( \frac{2}{3} ) ^{- 2}}{( \frac{2}{3} ) ^{3}}

6 \cdot 1 0^{- 4}

\frac{2}{3} (5)

(s + 3) (s - 1)

What is (9x+72)/(x^2+10x+16)*(x^2-7x-18)/(x-9) ?
The solution to (9x+72)/(x^2+10x+16)*(x^2-7x-18)/(x-9) is 9