展开 ((x-4)(3x-1))/2

解答

展开

\frac{( x - 4 ) ( 3 x - 1 )}{2}

\frac{3 x ^{2}}{2} - \frac{13 x}{2} + 2

求解步骤

\frac{( x - 4 ) ( 3 x - 1 )}{2}

乘开

(x - 4) (3 x - 1) : 3 x^{2} - 13 x + 4

= \frac{3 x ^{2} - 13 x + 4}{2}

使用分式法则:

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

\frac{3 x ^{2} - 13 x + 4}{2} = \frac{3 x ^{2}}{2} - \frac{13 x}{2} + \frac{4}{2}

= \frac{3 x ^{2}}{2} - \frac{13 x}{2} + \frac{4}{2}

数字相除:

\frac{4}{2} = 2

= \frac{3 x ^{2}}{2} - \frac{13 x}{2} + 2

e x p an d a (- 3, - 1)

s im pl i f y 5 x (2 x - 3) (4 x + 9) (x - 3) (x + 3)

e x p an d (\frac{1}{2} - \frac{3}{2})^{16}

e x p an d (110 + 110 (1.732) i) \cdot \frac{9 - 27 i}{80 + 60 i = 9 - 27 i}

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