What is expand (x-3)/(x(x-1)^2) ?

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

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expand (x-3)/(x(x-1)^2)

expand

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

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

Solution steps

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

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

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

Expand

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

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

(e^{- t} - t e^{- t})^{2}

(2 - 5 x)^{2}

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

\frac{d}{d x} ((z) (2 x y z - e^{z}))

(- \frac{b}{a} y - \frac{c}{a} z + d)^{2} + y^{2} - z^{2}

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