Question

Simplify (−3 + 2i) ⋅ (2 + i) (2 points) a −8 + i b −6 + 3i c −3 + 4i d −1 + 2i

Answer 1

Answer:(-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.

Explanation: