What is expand (x^3+4x^2)/((x+5)^3) ?

The solution to expand (x^3+4x^2)/((x+5)^3) is (x^3+4x^2)/(x^3+15x^2+75x+125)

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expand (x^3+4x^2)/((x+5)^3)

expand

\frac{x ^{3} + 4 x ^{2}}{( x + 5 ) ^{3}}

\frac{x ^{3} + 4 x ^{2}}{x ^{3} + 15 x ^{2} + 75 x + 125}

Solution steps

\frac{x ^{3} + 4 x ^{2}}{( x + 5 ) ^{3}}

(x + 5)^{3} = x^{3} + 15 x^{2} + 75 x + 125

= \frac{x ^{3} + 4 x ^{2}}{x ^{3} + 15 x ^{2} + 75 x + 125}

\frac{5 ( s + 2 )}{s ^{2} ( s + 1 ) ( s + 3 )}

(1 - cos (x)) (cot (x) + csc (x) = sin (x))

\frac{6}{s ( s ^{2} - 4 )}

(y + 1) d x + x d y

\frac{x ^{2} - 2 x + 3}{( x - 3 ) ( x ^{2} - 9 )}

What is expand (x^3+4x^2)/((x+5)^3) ?
The solution to expand (x^3+4x^2)/((x+5)^3) is (x^3+4x^2)/(x^3+15x^2+75x+125)