Find the result of the following operation: 2+3i1−2i. Then, rationalize the denominator using complex conjugates.
=−45+75i
Step 1 :2+3i1−2i×1+2i1+2i=(2+3i)(1+2i)(1−2i)(1+2i)
Step 2 :=2+4i+3i+6i21−4i2
Step 3 :=2+7i−61+4=−4+7i5
Step 4 :=−45+75i