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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

\frac{1}{6} (e^{3 x} + e^{- 3 x})

\frac{( 6 x ^{2} - 12 x ) ( x + 1 )}{( 2 x - 3 ) ( x ^{2} - 4 x - 11 )}

(3 x + 4 y = 3, 2) (5 x + 6 y = 30)

(15 20) 2^{15}

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

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