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

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

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

expand

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

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

Solution steps

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

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

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

\frac{1}{2} (x - 2) (x - 6)

\frac{2 ( - r + 45 )}{5}

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

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

3 (3 - x^{2}) d x

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