What is (\frac{4x-24)/(-3x-15)}{(x^2-36)/(x+5)} ?

The solution to (\frac{4x-24)/(-3x-15)}{(x^2-36)/(x+5)} is -4/(3(x+6))

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simplify (\frac{4x-24)/(-3x-15)}{(x^2-36)/(x+5)}

simplify

\frac{\frac{4 x - 24}{- 3 x - 15}}{\frac{x ^{2} - 36}{x + 5}}

- \frac{4}{3 ( x + 6 )}

Solution steps

\frac{\frac{4 x - 24}{- 3 x - 15}}{\frac{x ^{2} - 36}{x + 5}}

Apply the fraction rule:

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

= \frac{( 4 x - 24 ) ( x + 5 )}{( - 3 x - 15 ) ( x ^{2} - 36 )}

Cancel

\frac{( 4 x - 24 ) ( x + 5 )}{( - 3 x - 15 ) ( x ^{2} - 36 )} : - \frac{4}{3 ( x + 6 )}

= - \frac{4}{3 ( x + 6 )}

\frac{4}{3} (- 6 Y)

\frac{1}{x - 1} + \frac{1}{( x - 1 ) ^{2}} + \frac{x}{x ^{2} - 1}

1 0^{- 6} \cdot 1 0^{- 6}

3 x e^{\frac{1}{2} x} d x

- 13 y^{4} (- 14 x^{3} y)

What is (\frac{4x-24)/(-3x-15)}{(x^2-36)/(x+5)} ?
The solution to (\frac{4x-24)/(-3x-15)}{(x^2-36)/(x+5)} is -4/(3(x+6))