What is (\frac{5x)/(x+3)}{(x^2-8x+15)/(x^2-9)} ?

The solution to (\frac{5x)/(x+3)}{(x^2-8x+15)/(x^2-9)} is (5x)/(x-5)

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simplify (\frac{5x)/(x+3)}{(x^2-8x+15)/(x^2-9)}

simplify

\frac{\frac{5 x}{x + 3}}{\frac{x ^{2} - 8 x + 15}{x ^{2} - 9}}

\frac{5 x}{x - 5}

Solution steps

\frac{\frac{5 x}{x + 3}}{\frac{x ^{2} - 8 x + 15}{x ^{2} - 9}}

Apply the fraction rule:

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

= \frac{5 x ( x ^{2} - 9 )}{( x + 3 ) ( x ^{2} - 8 x + 15 )}

Cancel

\frac{5 x ( x ^{2} - 9 )}{( x + 3 ) ( x ^{2} - 8 x + 15 )} : \frac{5 x}{x - 5}

= \frac{5 x}{x - 5}

\frac{a - 1}{a - 2} - \frac{a - 2}{a + 3} + \frac{1}{a - 1}

(3 x - 2 y)^{4}

45 p^{2}

(12 x^{2} - 8 x - 15) m^{2}

(x^{- 1})^{- 1}

What is (\frac{5x)/(x+3)}{(x^2-8x+15)/(x^2-9)} ?
The solution to (\frac{5x)/(x+3)}{(x^2-8x+15)/(x^2-9)} is (5x)/(x-5)