展开 (2sqrt(3)(x-2pi))/3-3/2

解答

展开

\frac{2 3 ( x - 2 π )}{3} - \frac{3}{2}

\frac{2 x}{3} - \frac{4 π}{3} - \frac{3}{2}

求解步骤

\frac{2 3 ( x - 2 π )}{3} - \frac{3}{2}

乘开

23 (x - 2 π) : 23 x - 43 π

= \frac{2 3 x - 4 3 π}{3} - \frac{3}{2}

使用分式法则:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{2 3 x - 4 3 π}{3} = \frac{2 3 x}{3} - \frac{4 3 π}{3}

= \frac{2 3 x}{3} - \frac{4 3 π}{3} - \frac{3}{2}

消掉

\frac{2 3 x}{3} : \frac{2 x}{3}

= \frac{2 x}{3} - \frac{4 3 π}{3} - \frac{3}{2}

消掉

\frac{4 3 π}{3} : \frac{4 π}{3}

= \frac{2 x}{3} - \frac{4 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}

e x p an d e^{3 x} (1 - 3 x)

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