Simplify the following expression: (3 + 2i) + (1 + i)(1-i)

Question

Simplify the following expression: (3 + 2i) + (1 + i)(1-i)

Answer 1

(3 + 2i) + (1 + i)(1 - i) = (3 + 2i) + 1 - i + i - i² (recall that i² = -1)

= 3 + 2i + 2 = 5 + 2i

Answer 2

Use FOIL (or general forms) to determine the product, then add it to the first binomial.