What is (x^2+8x-9)/(x-1)*(4x^2)/(x^2+x-72) ?

The solution to (x^2+8x-9)/(x-1)*(4x^2)/(x^2+x-72) is (4x^2)/(x-8)

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simplify (x^2+8x-9)/(x-1)*(4x^2)/(x^2+x-72)

simplify

\frac{x ^{2} + 8 x - 9}{x - 1} \cdot \frac{4 x ^{2}}{x ^{2} + x - 72}

\frac{4 x ^{2}}{x - 8}

Solution steps

\frac{x ^{2} + 8 x - 9}{x - 1} \cdot \frac{4 x ^{2}}{x ^{2} + x - 72}

Cancel

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

= (x + 9) \frac{4 x ^{2}}{x ^{2} + x - 72}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( x + 9 ) \cdot 4 x ^{2}}{x ^{2} + x - 72}

Factor

x^{2} + x - 72 : (x - 8) (x + 9)

= \frac{( x + 9 ) \cdot 4 x ^{2}}{( x - 8 ) ( x + 9 )}

Cancel the common factor:

x + 9

= \frac{4 x ^{2}}{x - 8}

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What is (x^2+8x-9)/(x-1)*(4x^2)/(x^2+x-72) ?
The solution to (x^2+8x-9)/(x-1)*(4x^2)/(x^2+x-72) is (4x^2)/(x-8)