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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

\frac{( 1 - cosh ( x ) ) ^{2}}{h}

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

(1, 1) y (- 1, - 1)

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

(x + d x) (cos (y))

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