What is expand (4x-2)/((-x^2+x+1)^2) ?

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

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expand (4x-2)/((-x^2+x+1)^2)

expand

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

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

Solution steps

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

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

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

\frac{675 t + 45 t ^{2} + t ^{3} + C}{( 15 + t ) ^{2}}

- \frac{30}{( 5 x + 1 ) ^{4}}

\frac{- 4 x + 6}{( x - 3 ) ( x - 2 ) ( x - 1 )}

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

δ (x - \frac{a _{0}}{2}) y

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