Answer:
12 - 5i - 2i²
Explanation:
When multiplying two brackets, multiply:
1. The 1st term in 1st bracket with 1st term in 2nd bracket.
2. The 1st term in 1st bracket with 2nd term in 2nd bracket.
3. The 2nd term in 1st bracket with 1st term in 2nd bracket.
4. The 2nd term in 1st bracket with 2nd term in 2nd bracket.
Remember that:
1. When two minuses are multiplied together within the brackets, they make a plus.
2. When one plus and one minus are multiplied together they make a minus.
(3-2i)(4+i) = 12 + 3i -8i - 2i²
= 12 - 5i - 2i²