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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

(1 - sin (a) - cos (a))^{2}

\frac{5 ( x ^{4} - 1 )}{2}

- \frac{a s}{( a ^{2} - s ^{2} ) ( s ^{2} - a ^{2} )}

\frac{d}{d v} ((p) (p + \frac{3.5}{v ^{2}}) (v - 2.1))

(- 8, - 1) (- 6, 5) y - 5

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