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

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

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

expand

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

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

Solution steps

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

(y^{2} - y + 1)^{2} = y^{4} - 2 y^{3} + 3 y^{2} - 2 y + 1

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

\frac{( x - 6 ) ( x - 2 )}{x ^{2} - 7 x + 5}

\frac{s ^{4} - 6 s ^{2} + 9 s - 8}{s \cdot ( s - 2 ) \cdot ( s ^{3} + 2 s ^{2} - s - 2 )}

(5 + cos (θ))^{2}

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

\frac{x ( t - 2 )}{t}

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