化简 (3-2i)/(3+i)

解答

化简

\frac{3 - 2 i}{3 + i}

\frac{7}{10} - \frac{9}{10} i

求解步骤

\frac{3 - 2 i}{3 + i}

乘以共轭根式

\frac{3 - i}{3 - i}

= \frac{( 3 - 2 i ) ( 3 - i )}{( 3 + i ) ( 3 - i )}

化简

\frac{( 3 - 2 i ) ( 3 - i )}{( 3 + i ) ( 3 - i )} : \frac{7 - 9 i}{10}

= \frac{7 - 9 i}{10}

Rewrite in standard complex form:

\frac{7}{10} - \frac{9}{10} i

= \frac{7}{10} - \frac{9}{10} i

s im pl i f y \frac{100 - 50}{4}

s im pl i f y + x - x

e x p an d (3 a + 4 b) (3 a - 4 b)

f a c t or 2 x^{2} - 20 x + 50

s im pl i f y \frac{6 ^{0}}{3 ^{1}} + 5^{0}