展开 1/((x-1)^4)

解答

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

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

求解步骤

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

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

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

e x p an d y (1 + x^{2}) y^{'} (x) - x (1 + y^{2})

e x p an d \frac{x}{( x - 1 ) \cdot ( x + 3 )}

e x p an d \frac{3}{( x ^{2} - 4 ) ( 2 - x )}

e x p an d ((1, 2, 3) + (4, - 3, - 1)) \cdot ((- 5, - 3, 5) - (- 2, 1, 6))

\frac{d}{d y} ((f (y, x)) (3 x + 2 y))