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

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

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

expand

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

\frac{d x}{x ^{3} + 2 x ^{2} + x}

Solution steps

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

(x + 1)^{2} = x^{2} + 2 x + 1

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

Expand

x (x^{2} + 2 x + 1) : x^{3} + 2 x^{2} + x

= \frac{d x}{x ^{3} + 2 x ^{2} + x}

(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}

\frac{\partial}{\partial x} ((z) (x y^{5} - x^{2} y))

\frac{tan ^{2} ( x )}{( sec ( x ) - 1 ) ^{2}}

(x - 23)^{2}

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

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