Question

Please help!!!! Will badge and fan

how do i Simplify this expression?

3+i/2-i * 4+i/2+i

A: 13-7i/3
B: 11-7i/3
C: 11+7i/5
D: 13+7i/5

Answer 1

is it
\[\frac{3+i}{2-i}\times \frac{4+i}{2+i}\]?

Answer 2

yeah that is it sorry.

Answer 3

it is always the case that
\((a+bi)(a-bi)=a^2+b^2\)
the denominator is
\((2-i)(2+i)=2^2+1^2=5\)

Answer 4

so you can rule out A and B
the numerators is
\[(3+i)(4+i)\]do you know how to multiply that out?

Answer 5

11+7i right?

Answer 6

yes

Answer 7

ok awesome so its C thank you so much that will make this sheet so much easier haha :)

Answer 8

once again the answer is C
it is always C

Answer 9

yw
post if you have any more questions