What is expand (x^2-2x)/((x+5)(x^2+16)) ?

The solution to expand (x^2-2x)/((x+5)(x^2+16)) is (x^2-2x)/(x^3+16x+5x^2+80)

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expand (x^2-2x)/((x+5)(x^2+16))

expand

\frac{x ^{2} - 2 x}{( x + 5 ) ( x ^{2} + 16 )}

\frac{x ^{2} - 2 x}{x ^{3} + 16 x + 5 x ^{2} + 80}

Solution steps

\frac{x ^{2} - 2 x}{( x + 5 ) ( x ^{2} + 16 )}

Expand

(x + 5) (x^{2} + 16) : x^{3} + 16 x + 5 x^{2} + 80

= \frac{x ^{2} - 2 x}{x ^{3} + 16 x + 5 x ^{2} + 80}

\frac{5}{( x - 1 ) ( 3 x + 2 )}

\frac{( 2 - x ) ^{2}}{4}

(3 + 4 x^{3}) (2 x^{2} - \frac{1}{2 x})^{12}

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

(x + 2) (x - 1) (x - 7) (x + 7)

What is expand (x^2-2x)/((x+5)(x^2+16)) ?
The solution to expand (x^2-2x)/((x+5)(x^2+16)) is (x^2-2x)/(x^3+16x+5x^2+80)