展开 (-x^2+4x-2)/((x-1)^4)

解答

展开

\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}

求解步骤

\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}

e x p an d (3 - 2)^{5}

e x p an d (2 + \frac{x}{3})^{12}

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

e x p an d \frac{( x ^{6} - 4 ) ^{2}}{16 x ^{6}}

e x p an d \frac{6 x ^{2} - 7 x - 1}{( x - 1 ) ( x + 1 ) ( x - 2 )}