What is expand (x^8+2x^6+x+2)/((x^2+1)(x^4-x^2+1)) ?

The solution to expand (x^8+2x^6+x+2)/((x^2+1)(x^4-x^2+1)) is (x^8+2x^6+x+2)/(x^6+1)

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expand (x^8+2x^6+x+2)/((x^2+1)(x^4-x^2+1))

expand

\frac{x ^{8} + 2 x ^{6} + x + 2}{( x ^{2} + 1 ) ( x ^{4} - x ^{2} + 1 )}

\frac{x ^{8} + 2 x ^{6} + x + 2}{x ^{6} + 1}

Solution steps

\frac{x ^{8} + 2 x ^{6} + x + 2}{( x ^{2} + 1 ) ( x ^{4} - x ^{2} + 1 )}

Expand

(x^{2} + 1) (x^{4} - x^{2} + 1) : x^{6} + 1

= \frac{x ^{8} + 2 x ^{6} + x + 2}{x ^{6} + 1}

(- \frac{b}{2 a} - x)^{2} - b (- \frac{b}{2 a} - x) + c

(x - \frac{2}{5}) (x + \frac{1}{3})

a (4, - \frac{π}{12})

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

What is expand (x^8+2x^6+x+2)/((x^2+1)(x^4-x^2+1)) ?
The solution to expand (x^8+2x^6+x+2)/((x^2+1)(x^4-x^2+1)) is (x^8+2x^6+x+2)/(x^6+1)