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

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

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

expand

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

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

Solution steps

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

Expand

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

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

\frac{24 ( s + 9 )}{( s + 0.8 ) ( s + 27 )}

\frac{( sin ( 2 x ) + 2 cos ( x ) ) \cdot 13}{169 + 6 π sin ( x )}

(e^{17 x} - e^{- 15 x})^{2}

\frac{( x - 0 ) ( x - 1 ) ( x - 5 ) ( x - 6 )}{24}

y (y^{2} + 1) d x + x (y^{2} - 1) d y

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