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

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

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

expand

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

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

Solution steps

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

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

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

(\frac{1}{( 3 + h ) ^{2}}) - (\frac{1}{9})

\frac{( 2 sin ( 2 ) t )}{s ^{2} ( s ^{2} + 1 )}

\frac{d}{d x} ((f (x)) (12 x^{5} - 4 x + 3))

\frac{( 8 x ^{10} - 1 ) ^{8}}{65536 x ^{48}}

e^{- 4 t - 8} h (t - 2)

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