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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

\frac{3}{( x - 1 ) ( x - 4 )}

e^{(t (t + 3))}

(5 + e^{i t})^{3}

(x - 3 i) (x - 2) (x + i)

(x + 1, y - 2) (x + 1 y - 2)

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