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

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

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

expand

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

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

Solution steps

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

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

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

Expand

x (x^{2} - 2 x + 1) (x + 2) : x^{4} - 3 x^{2} + 2 x

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

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

(x + 8) (x - \frac{2}{5}) (x + 2) (x - 2)

\frac{x + h - x}{h}

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

3 (3 + 2)

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