Question

evaluate the expression and write the result in the form
a + bi.

(5 + 3i)(2 − i) over/3 + i

Answer 1

10 - 5i + 6i -3i^2
= 10 + i + 3
= 13 + i.

Answer 2

:^)

Answer 3

(5+3i)(2-i)= 10-5i+6i+3 = 13 + i

(13+i)/ (3+i)= 4-i

Answer 4

so wait which one is it?

Answer 5

4- i

Answer 6

I got the numerator. The whole problem is now reduced to
(13 + i)/(3 + i).

Answer 7

= (13 + i)(3 - i)/[3 + i)(3 = i)]

Answer 8

= (39 - 13i + 3i - i^2)/10
(40 - 10i)/10
4 - i.