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

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

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

expand

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

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

Solution steps

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

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

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

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

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

Expand

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

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

\frac{7 x ^{2} + 2 x - 3}{( 2 x - 1 ) ( 3 x + 2 ) ( x - 3 )}

\frac{e ^{- 5 s} + 2 e ^{- 6 s} + 3 e ^{- 7 s}}{s ^{2} ( s - 4 )}

\frac{( \frac{R cs + 1}{c} ) I}{\frac{cs}{cs}}

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

\frac{d}{d x} ((y) (3 e^{2 x} + 2 e^{2 x} x))

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