What is expand (-x^3+15x^2-15x+1)/(2(x+1)^3) ?

The solution to expand (-x^3+15x^2-15x+1)/(2(x+1)^3) is (-x^3+15x^2-15x+1)/(2x^3+6x^2+6x+2)

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expand (-x^3+15x^2-15x+1)/(2(x+1)^3)

expand

\frac{- x ^{3} + 15 x ^{2} - 15 x + 1}{2 ( x + 1 ) ^{3}}

\frac{- x ^{3} + 15 x ^{2} - 15 x + 1}{2 x ^{3} + 6 x ^{2} + 6 x + 2}

Solution steps

\frac{- x ^{3} + 15 x ^{2} - 15 x + 1}{2 ( x + 1 ) ^{3}}

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

= \frac{- x ^{3} + 15 x ^{2} - 15 x + 1}{2 ( x ^{3} + 3 x ^{2} + 3 x + 1 )}

Expand

2 (x^{3} + 3 x^{2} + 3 x + 1) : 2 x^{3} + 6 x^{2} + 6 x + 2

= \frac{- x ^{3} + 15 x ^{2} - 15 x + 1}{2 x ^{3} + 6 x ^{2} + 6 x + 2}

[\frac{11 s ^{2} - 10 s + 11}{( s ^{2} + 1 ) ( s ^{2} - 2 s + 5 )}]

(x^{2} + 2 y^{2}) d y

2 (ab + b c + a c)^{3}

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

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

What is expand (-x^3+15x^2-15x+1)/(2(x+1)^3) ?
The solution to expand (-x^3+15x^2-15x+1)/(2(x+1)^3) is (-x^3+15x^2-15x+1)/(2x^3+6x^2+6x+2)