展开 (3(159+140i)(736x-420ix))/(1471369)

解答

展开

\frac{3 ( 159 + 140 i ) ( 736 x - 420 i x )}{1471369}

\frac{351072 x}{1471369} + \frac{108780 i x}{1471369} - \frac{176400 i ^{2} x}{1471369}

求解步骤

\frac{3 ( 159 + 140 i ) ( 736 x - 420 i x )}{1471369}

乘开

3 (159 + 140 i) (736 x - 420 i x) : 351072 x + 108780 i x - 176400 i^{2} x

= \frac{351072 x + 108780 i x - 176400 i ^{2} x}{1471369}

使用分式法则:

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

\frac{351072 x + 108780 i x - 176400 i ^{2} x}{1471369} = \frac{351072 x}{1471369} + \frac{108780 i x}{1471369} - \frac{176400 i ^{2} x}{1471369}

= \frac{351072 x}{1471369} + \frac{108780 i x}{1471369} - \frac{176400 i ^{2} x}{1471369}

e x p an d \frac{5 π}{4} + \frac{5 π ( 2 + 2 + 2 + 2 - 2 )}{8}

s im pl i f y (x^{2} + 6 x + 9) (x - \frac{7}{2}) (x^{2} - 6 x + 4)

e x p an d \frac{4 ( x - 2 ) ( 2 n + 1 )}{2 n + 3}

e x p an d C (0, 0) Q (2, - 3)

s im pl i f y (23 x + 52)^{2}