Perform the indicated operation. Write the result in the form a + bi.
-$\frac { 4 - 3 i } { 9 + 5 i }$
A) $\frac { 51 } { 106 } + \frac { 7 } { 106 } \mathrm { i }$
B) $\frac { 21 } { 106 } - \frac { 47 } { 106 } \mathrm { i }$
C) $\frac { 3 } { 8 } - \frac { 47 } { 56 } \mathrm { i }$
D) $\frac { 51 } { 56 } - \frac { 47 } { 56 } \mathrm { i }$

Question

Quizplus · Accepted Answer

To divide complex numbers, multiply the numerator and denominator by the conjugate of the denominator. The conjugate of $9 + 5i$ is $9 - 5i$. After performing the multiplication and simplification, the result is $\frac { 21 } { 106 } - \frac { 47 } { 106 } \mathrm { i }$.

Perform the Indicated Operation 4−3i9+5i\frac { 4 - 3 i } { 9 + 5 i }9+5i4−3i​

Perform the Indicated Operation $\frac { 4 - 3 i } { 9 + 5 i }$