What is expand (x^5-2x+1)/((x+1)(x^2+1)) ?

The solution to expand (x^5-2x+1)/((x+1)(x^2+1)) is (x^5-2x+1)/(x^3+x+x^2+1)

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expand (x^5-2x+1)/((x+1)(x^2+1))

expand

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

\frac{x ^{5} - 2 x + 1}{x ^{3} + x + x ^{2} + 1}

Solution steps

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

Expand

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

= \frac{x ^{5} - 2 x + 1}{x ^{3} + x + x ^{2} + 1}

(2 - x^{2} - 5) (2 + x^{2} - 5)

9 (cos (x) + 3)

(u - 2) (4 u + 1 + 3)

(b + b c) (b + b^{^{'}} c) (b + d)

\frac{2 sin ^{2} ( x ) - cos ( x ) ( 1 - 2 cos ( x ) )}{sin ^{2} ( x )}

What is expand (x^5-2x+1)/((x+1)(x^2+1)) ?
The solution to expand (x^5-2x+1)/((x+1)(x^2+1)) is (x^5-2x+1)/(x^3+x+x^2+1)