SOLUTION: I'm trying to solve the following problem, but get stuck half way through it, can you please help me? 16 + 4i divided by 16 - 4i I've been trying the following, I tried multipl

Question 195529: I'm trying to solve the following problem, but get stuck half way through it, can you please help me?
16 + 4i divided by 16 - 4i
I've been trying the following, I tried multiply both the numerator and denominator by the conjugate of the denominator and this is as far as I get before getting stuck (16+4i) (16+4i) using the foil method I get 256 +64i+64i+16i^2. When I do the same for the denominator (16-4i)(16+4i) using the foil method I get 272. I combine the numerator and get the following 240+128i and then this is where I'm stuck I don't know what to do after this 240+128i/272. Can you please help me?
Found 2 solutions by jim_thompson5910, Earlsdon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Multiply the fraction by .

Combine the fractions.

FOIL the numerator.

FOIL the denominator.

Multiply.

Combine like terms.

Break up the fraction.

Reduce.

So .

So the expression is now in standard form where and
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You are correct so far, but you could simplify your answer some:
Factor 16 from the numerator and the from the denominator.

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