SOLUTION: Hi, Can you please help with imaginary numbers? . Simplify . {{{ (3+4i)/(6-2i) }}} . Put in complex number form {{{ a + bi }}} . Thanks ahead of time, Levi

Question 159832: Hi, Can you please help with imaginary numbers?
.
Simplify
.

.
Put in complex number form
.
Thanks ahead of time, Levi
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Multiply both numerator and denominator by conjugate of the denominator

Combine the fractions

FOIL

Replace with -1 and multiply

Combine like terms.

Break up the fraction

Reduce

So simplifies to . In other words, . Notice how the result is in standard form where and
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