What is (\frac{x^2-64)/(x-8)}{(x^2+5x-24)/(3x)} ?

The solution to (\frac{x^2-64)/(x-8)}{(x^2+5x-24)/(3x)} is (3x)/(x-3)

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simplify (\frac{x^2-64)/(x-8)}{(x^2+5x-24)/(3x)}

simplify

\frac{\frac{x ^{2} - 64}{x - 8}}{\frac{x ^{2} + 5 x - 24}{3 x}}

\frac{3 x}{x - 3}

Solution steps

\frac{\frac{x ^{2} - 64}{x - 8}}{\frac{x ^{2} + 5 x - 24}{3 x}}

Apply the fraction rule:

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

= \frac{( x ^{2} - 64 ) \cdot 3 x}{( x - 8 ) ( x ^{2} + 5 x - 24 )}

Cancel

\frac{( x ^{2} - 64 ) \cdot 3 x}{( x - 8 ) ( x ^{2} + 5 x - 24 )} : \frac{3 x}{x - 3}

= \frac{3 x}{x - 3}

5 x^{2} - 3 x y + 8 y^{2} - 11 x y + 2 y^{2} - 3 x^{2} - x y

(1 + x)^{4}

(- 7 x^{2} - 6 x + 9) + (- 3 x^{2} - x + 7)

10 \frac{3}{4}

\frac{x ^{3} + 1}{x ^{2} - 1}

What is (\frac{x^2-64)/(x-8)}{(x^2+5x-24)/(3x)} ?
The solution to (\frac{x^2-64)/(x-8)}{(x^2+5x-24)/(3x)} is (3x)/(x-3)