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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

- \frac{3 ln ( 7 )}{10 ( - e ^{\frac{l n ( 7 )}{20}} + 1 )}

\frac{( 10 + y ) ( y + 2 )}{2}

4 e^{x^{2}} x (e^{x^{2}} + e^{- y^{2}})

\frac{cos ^{3} ( n ) ( n + 1 )}{n ^{3}}

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

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