What is (\frac{x^3+125)/(x^2-64)}{(x^3-5x^2+25x)/(x^2+x-56)} ?

The solution to (\frac{x^3+125)/(x^2-64)}{(x^3-5x^2+25x)/(x^2+x-56)} is ((x+5)(x-7))/((x-8)x)

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simplify (\frac{x^3+125)/(x^2-64)}{(x^3-5x^2+25x)/(x^2+x-56)}

simplify

\frac{\frac{x ^{3} + 125}{x ^{2} - 64}}{\frac{x ^{3} - 5 x ^{2} + 25 x}{x ^{2} + x - 56}}

\frac{( x + 5 ) ( x - 7 )}{( x - 8 ) x}

Solution steps

\frac{\frac{x ^{3} + 125}{x ^{2} - 64}}{\frac{x ^{3} - 5 x ^{2} + 25 x}{x ^{2} + x - 56}}

Apply the fraction rule:

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

= \frac{( x ^{3} + 125 ) ( x ^{2} + x - 56 )}{( x ^{2} - 64 ) ( x ^{3} - 5 x ^{2} + 25 x )}

Cancel

\frac{( x ^{3} + 125 ) ( x ^{2} + x - 56 )}{( x ^{2} - 64 ) ( x ^{3} - 5 x ^{2} + 25 x )} : \frac{( x + 5 ) ( x - 7 )}{( x - 8 ) x}

= \frac{( x + 5 ) ( x - 7 )}{( x - 8 ) x}

\frac{2 x ^{5} y ^{8}}{8 x ^{3} y ^{8}}

(x - 1) (2 x - 8)

lo g_{5} (64) \cdot lo g_{2} (5)

(4 x - 8)^{2}

(2 x + 8 y) (2 x - 8 y)

What is (\frac{x^3+125)/(x^2-64)}{(x^3-5x^2+25x)/(x^2+x-56)} ?
The solution to (\frac{x^3+125)/(x^2-64)}{(x^3-5x^2+25x)/(x^2+x-56)} is ((x+5)(x-7))/((x-8)x)