Simplify the expression. 3+i/2-i x 4+i/2+i

Question

Adyson Hensley

Mathematics

27 July, 00:19

Simplify the expression. 3+i/2-i x 4+i/2+i

+4

Answers (2)

Know the Answer?

Jayvion Beltran · Answer 1

(11 + 7i) / 5

11/5 + 7/5 i

Step-by-step explanation:

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

((3 + i) (4 + i)) / ((2 - i) (2 + i))

(12 + 3i + 4i + i²) / (4 + 2i - 2i - i²)

(12 + 7i - 1) / (4 + 1)

(11 + 7i) / 5

11/5 + 7/5 i

Espinoza · Answer 2

The solution of your problem is 3-2i