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

The solution to expand (-x^2+4x-2)/((x-1)^4) is (-x^2+4x-2)/(x^4-4x^3+6x^2-4x+1)

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

expand

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

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

Solution steps

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

(x - 1)^{4} = x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1

= \frac{- x ^{2} + 4 x - 2}{x ^{4} - 4 x ^{3} + 6 x ^{2} - 4 x + 1}

(3 - 2)^{5}

(2 + \frac{x}{3})^{12}

(2 y^{2} + 3 x y - 2 y + 6 x) d x + x

\frac{( x ^{6} - 4 ) ^{2}}{16 x ^{6}}

\frac{6 x ^{2} - 7 x - 1}{( x - 1 ) ( x + 1 ) ( x - 2 )}

What is expand (-x^2+4x-2)/((x-1)^4) ?
The solution to expand (-x^2+4x-2)/((x-1)^4) is (-x^2+4x-2)/(x^4-4x^3+6x^2-4x+1)