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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

\frac{4 a}{2 a}

(\frac{2}{y ^{2}})^{3}

\frac{x - 5}{( x + 2 ) ( x - 2 )}

a + b e^{a (t - m)}

(2 - e)^{3}

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