SOLUTION: The expression, {{{ (3-j)(3-2j)/(2+3j^3) }}}, in simplest rectangular form is? Struggling with this question, what steps do I take to solve this question?

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Question 950340: The expression, +%283-j%29%283-2j%29%2F%282%2B3j%5E3%29+, in simplest rectangular form is?
Struggling with this question, what steps do I take to solve this question?

Found 2 solutions by Alan3354, Fombitz:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The expression, +%283-j%29%283-2j%29%2F%282%2B3j%5E3%29+, in simplest rectangular form is?
Struggling with this question, what steps do I take to solve this question?
=======================
There's nothing to solve, just rationalize.
j^3 = -j
---
--> +%283-j%29%2A%283-2j%29%2F%282-3j%29+
= +%289+-9j+-2%29%2F%282-3j%29+
= +%287+-9j%29%2F%282-3j%29+
Multiply NUM and DEN by the conjugate of the DEN
= %287+-9j%29%2A%282%2B3j%29%2F%28%282-3j%29%2A%282%2B3j%29%29
= %2814+%2B3j+%2B+27%29%2F13
= %2841+%2B3j%29%2F13
or 41/13 + 3j/13

Answer by Fombitz(32388) About Me  (Show Source):