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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

(x^{3} e^{3 x} + 2) (x)

(12 x + 2)^{2}

(e^{9 i t} - 3 e^{3 i t} + 3 e^{- 3 i t} - e^{- 9 i t}) (e^{4 i t} + e^{- 4 i t})

(4 x^{2} + 1) 4 x^{2} + 1

\frac{( 6 z ^{2} - 2 z - 1 )}{( ( z - 1 ) ^{3} \cdot ( z + 1 ) )}

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