SOLUTION: Please simplify. 2+3i/4-5i

Question 94464: Please simplify.
2+3i/4-5i
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Please simplify.
(2+3i)/(4-5i)
Multiply numerator and denominator by 4+5i to get:
=[(2+3i)(4+5i)]/[(4-5i)(4+5i)]
=[(8-15)+(12+10)i] / [16+25]
= [ -7 + 22i ] / [41]
= (-7/41) + (22/41)i
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Cheers,
Stan H.

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