What is (\frac{x^3-121x)/(x^2-49)}{(x^2-11x)/(x+7)} ?

The solution to (\frac{x^3-121x)/(x^2-49)}{(x^2-11x)/(x+7)} is (x+11)/(x-7)

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simplify (\frac{x^3-121x)/(x^2-49)}{(x^2-11x)/(x+7)}

simplify

\frac{\frac{x ^{3} - 121 x}{x ^{2} - 49}}{\frac{x ^{2} - 11 x}{x + 7}}

\frac{x + 11}{x - 7}

Solution steps

\frac{\frac{x ^{3} - 121 x}{x ^{2} - 49}}{\frac{x ^{2} - 11 x}{x + 7}}

Apply the fraction rule:

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

= \frac{( x ^{3} - 121 x ) ( x + 7 )}{( x ^{2} - 49 ) ( x ^{2} - 11 x )}

Cancel

\frac{( x ^{3} - 121 x ) ( x + 7 )}{( x ^{2} - 49 ) ( x ^{2} - 11 x )} : \frac{x + 11}{x - 7}

= \frac{x + 11}{x - 7}

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What is (\frac{x^3-121x)/(x^2-49)}{(x^2-11x)/(x+7)} ?
The solution to (\frac{x^3-121x)/(x^2-49)}{(x^2-11x)/(x+7)} is (x+11)/(x-7)