展开 (2(x-1)^2)/((x-2)(x+1))

解答

展开

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

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

求解步骤

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

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

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

乘开

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

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

乘开

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

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

s im pl i f y (1 + i x)^{2}

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

e x p an d (1 + x + x^{2})^{8}

s im pl i f y 3 (3 - 2)

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