展开 (x^2)/((x-1)^2(x-2))

解答

展开

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

\frac{x ^{2}}{x ^{3} - 4 x ^{2} + 5 x - 2}

求解步骤

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

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

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

乘开

(x^{2} - 2 x + 1) (x - 2) : x^{3} - 4 x^{2} + 5 x - 2

= \frac{x ^{2}}{x ^{3} - 4 x ^{2} + 5 x - 2}

e x p an d (2 x + 3) (2 x - 3)

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

e x p an d (3 x^{2} + 5 x - 6) l e f t (- x^{2} - 2 x + 12) + (x^{2} + 2 x - 3)

e x p an d e (f + g)

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