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

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

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

expand

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

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

Solution steps

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

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

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

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

(x + 2 i) (x - 2 i)^{2}

((x - 2) \cdot x) \cdot (72 + 7 x)

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

(1 + \frac{1}{x})^{6}

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