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

The solution to expand (x^2)/((x^2+1)^2(x^2+2x+2)) is (x^2)/(x^6+2x^5+4x^4+4x^3+5x^2+2x+2)

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

expand

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

\frac{x ^{2}}{x ^{6} + 2 x ^{5} + 4 x ^{4} + 4 x ^{3} + 5 x ^{2} + 2 x + 2}

Solution steps

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

(x^{2} + 1)^{2} = x^{4} + 2 x^{2} + 1

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

Expand

(x^{4} + 2 x^{2} + 1) (x^{2} + 2 x + 2) : x^{6} + 2 x^{5} + 4 x^{4} + 4 x^{3} + 5 x^{2} + 2 x + 2

= \frac{x ^{2}}{x ^{6} + 2 x ^{5} + 4 x ^{4} + 4 x ^{3} + 5 x ^{2} + 2 x + 2}

\frac{12 e ^{- s}}{( s + 6 ) s}

\frac{x y ^{2}}{\frac{y}{3} x \frac{1}{3 x}}

4 x + 8 \cdot x + 2

2 y (y^{2} - 5 y - 3) + y (y + 1)^{'}

- 2^{3}

What is expand (x^2)/((x^2+1)^2(x^2+2x+2)) ?
The solution to expand (x^2)/((x^2+1)^2(x^2+2x+2)) is (x^2)/(x^6+2x^5+4x^4+4x^3+5x^2+2x+2)