(-3 + 2i) × (2 + i)
Multiply this by using FOIL: First, Outside, Inside, Last.
Multiply the First numbers, -3 × 2.
Multiply the Outside numbers, -3 × i.
Multiply the Inside numbers, 2i × 2.
Multiply the Last numbers, 2i × i.
Use the distributive property to show FOIL: -3(2 + i) + 2i(2 + i).
Distribute the -3 to 2 + i and 2i to 2 + i.
Rewrite i² as -1.
-6 - 3i + 4i + 2(-1)
Now combine like terms, -6 - 2 and -3i + 4i.
-8 + i is your answer.
