展开 (2(x^3-6x^2+12x-7))/((x-2)^3)

解答

展开

\frac{2 ( x ^{3} - 6 x ^{2} + 12 x - 7 )}{( x - 2 ) ^{3}}

\frac{2 x ^{3} - 12 x ^{2} + 24 x - 14}{x ^{3} - 6 x ^{2} + 12 x - 8}

求解步骤

\frac{2 ( x ^{3} - 6 x ^{2} + 12 x - 7 )}{( x - 2 ) ^{3}}

(x - 2)^{3} = x^{3} - 6 x^{2} + 12 x - 8

= \frac{2 ( x ^{3} - 6 x ^{2} + 12 x - 7 )}{x ^{3} - 6 x ^{2} + 12 x - 8}

乘开

2 (x^{3} - 6 x^{2} + 12 x - 7) : 2 x^{3} - 12 x^{2} + 24 x - 14

= \frac{2 x ^{3} - 12 x ^{2} + 24 x - 14}{x ^{3} - 6 x ^{2} + 12 x - 8}

e x p an d (\frac{4}{16} x + \frac{5}{16} y + \frac{3}{16} z + \frac{4}{16} w)^{4}

e x p an d (2 a^{3} + \frac{3}{a})^{6}

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

e x p an d ln (3 x)

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