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

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

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

expand

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

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

Solution steps

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

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

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

9 (- 7 x + 9 y = - 25)

(- 2 - 2 i)^{7}

\frac{- 3 s + 1}{8 ( s ^{2} + s + 4 )}

(x - 1 - 5) (x - 1 + 5)

(7 - 2 i)^{5}

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