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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

\frac{( y ^{3} ( 250 x y - 75 ) )}{( 5 x y - 1 ) ^{3}}

\frac{x ^{2} + 2 x y}{( x + y ) ^{2}}

e^{1 + t} u (- t + 2)

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

\frac{3}{4} (x + \frac{1}{2} sin (2 x))

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