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

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

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

expand

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

\frac{x + 1}{x ^{6} + x ^{5} + 3 x ^{4} + 2 x ^{3} + 3 x ^{2} + x + 1}

Solution steps

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

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

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

Expand

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

= \frac{x + 1}{x ^{6} + x ^{5} + 3 x ^{4} + 2 x ^{3} + 3 x ^{2} + x + 1}

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

(x + 2) (x - 5)

(csc (θ) - sec (θ)) (cos (θ) + sin (θ))

(x^{\frac{1}{3}} + y^{\frac{1}{3}})^{6}

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