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

(6, 2, 3) x (- 2, - 3, - 7)

(y^{2} + 3) d x + (2 x y - 4) d y

\frac{x - 2}{2 x}

\frac{( x ^{3} + 1 ) ^{3}}{9}

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)