What is expand (x-1)/(x(x+2)^2) ?

The solution to expand (x-1)/(x(x+2)^2) is (x-1)/(x^3+4x^2+4x)

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expand (x-1)/(x(x+2)^2)

expand

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

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

Solution steps

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

(x + 2)^{2} = x^{2} + 4 x + 4

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

Expand

x (x^{2} + 4 x + 4) : x^{3} + 4 x^{2} + 4 x

= \frac{x - 1}{x ^{3} + 4 x ^{2} + 4 x}

(f \circ g) (x^{2} + 1)

(2 sin (x) - 2 cos (x))^{2}

\frac{s - e ^{- \frac{s π}{2}} + 1}{s ( s ^{2} + 1 )}

(x^{2} + 5 x + 6) (\frac{1}{2} sin (2 x))

\frac{\partial}{\partial x} ((z) (4 x yz - e^{z}))

What is expand (x-1)/(x(x+2)^2) ?
The solution to expand (x-1)/(x(x+2)^2) is (x-1)/(x^3+4x^2+4x)