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}

d y (x sin (y) + y cos (x) + g y)

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

e^{x} (x e^{- x} - e^{x})

\frac{3}{4} cos (2) (x + \frac{π}{3})

\frac{( 9 y ^{6} - 1 ) ^{2}}{36 y ^{6}}

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)