Express 5-2i/4+3i in form of a+bi
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Multiply numerator and denominator by 4-3i.
The numerator becomes
(5-2i) × (4-3i) = (20+6i^2) + (-15-8)i = (20-6) - 23i
The denominator becomes
(4+3i) × (4-3i) = (16-9i^2) + (-12+12)i = 25+0i, a real number.
So the answer is (5-2i)/(4+3i) = 14-23i / 25
= 14/25 - 23/25i.
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