Question

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

Answer 1

The solution of your problem is 3-2i

Answer 2

(11 + 7i) / 5

11/5 + 7/5 i

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