展开 (3x^2-3x+2)/((x-1)^3(x+1))

解答

展开

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

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

求解步骤

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

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

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

乘开

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

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

e x p an d \frac{( 1 + x ^{2} ) ^{(\frac{3}{2})} - 1}{3}

e x p an d - 2 (5 x - 4 y = - 9)

e x p an d ((- 1)^{k + 1} \cdot (k + 1)) \cdot 4

e x p an d 7 (x^{2} + 4 - 4 ln x^{2} + 4)

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