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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

\frac{5 ( 13 - 71 )}{49}

\frac{9}{( s + 3 ) ( s + 4 )}

v (- 2, - 1)

x^{2} + 6

5 ln^{2} (5) - 2 (5 ln (5) - 5)

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