Question

Simplify (2 +3i) / (2-i)
the answer is (1 +8i) / (5)
Needs to know how to get there

Answer 1

HI!!!

Answer 2

\[(a+bi)(a-bi)=a^2+b^2\\
(2-i)(2-i)=2^2+1^2=5\]

Answer 3

oops i meant
\[(2-i)(2+i)=2^2+1^2=5\]

Answer 4

so multiply \[\frac{2+3i}{2-i}\times \frac{2+i}{2+i}=\frac{(2+3i)(2+i)}{5}\]

Answer 5

I foil the numerator?

Answer 6

Yes! Foil the numerator, then simplify. Remember \[i ^{2}=-1\]

Answer 7

Thanks