SOLUTION: Please help me simplify (2-2i)/(3-5i)

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Question 742768: Please help me simplify (2-2i)/(3-5i)
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
%282-2i%29%2F%283-5i%29=%28%282-2i%29%2F%283-5i%29%29%28%283%2B5i%29%2F%283%2B5i%29%29
Next we multiply out both numerator and denominator:

Note that
-%285i%29%5E2=-%28-25%29=25
and
-10i%5E2=-10%28-1%29=10
So our expression becomes
%2816%2B4i%29%2F%289%2B25%29
Which simplifies to:
16%2F34%2B4i%2F34
or
8%2F17%2B%282%2F17%29i