Question

Simplify the given expression into the form a+bi, where a and b are rational numbers?

Answer 1

Given:

2(-36- 3i )+ (5+2i)(12-2i)

Open the parenthesis

2(-36- 3i) + 5( 12 - 2i) + 2i ( 12 - 2i)

- 72 - 6i + 60 - 10i + 24i + 4 ( Note: i² = -1)

Re-arrange

-72+60 + 4 - 6i - 10i + 24i

= -8 + 8i