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

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

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expand (4x^3)/((x+1)^2(x^2-1))

expand

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

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

Solution steps

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

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

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

Expand

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

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

1576 x ((2, \frac{5}{2}) - 1)

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

[(x - 2) e x] \frac{d x}{d x}

[(x - 3) e x]

x - 0.6703 + 0.3297

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