What is expand (7x+116)/((x-4)^2(x+5)) ?

The solution to expand (7x+116)/((x-4)^2(x+5)) is (7x+116)/(x^3-3x^2-24x+80)

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expand (7x+116)/((x-4)^2(x+5))

expand

\frac{7 x + 116}{( x - 4 ) ^{2} ( x + 5 )}

\frac{7 x + 116}{x ^{3} - 3 x ^{2} - 24 x + 80}

Solution steps

\frac{7 x + 116}{( x - 4 ) ^{2} ( x + 5 )}

(x - 4)^{2} = x^{2} - 8 x + 16

= \frac{7 x + 116}{( x ^{2} - 8 x + 16 ) ( x + 5 )}

Expand

(x^{2} - 8 x + 16) (x + 5) : x^{3} - 3 x^{2} - 24 x + 80

= \frac{7 x + 116}{x ^{3} - 3 x ^{2} - 24 x + 80}

\frac{7 x ^{3} + x ^{2} + 49 x + 1}{( x ^{2} + 1 ) ( x ^{2} + 7 )}

\frac{3 x ^{2} + 3 x + 7}{( x - 2 ) ^{2} ( x ^{2} + 1 )}

19600 (- \frac{512}{3} + 432 π)

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

\frac{s ^{2} + s + 1}{( s ^{2} + 1 ) ^{2}}

What is expand (7x+116)/((x-4)^2(x+5)) ?
The solution to expand (7x+116)/((x-4)^2(x+5)) is (7x+116)/(x^3-3x^2-24x+80)