Simplify the given expression below: (−3 + 2i) ⋅ (2 + i) (2 points) −8 + i −6 + 3i −3 + 4i −1 + 2i

(-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.

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.

the answer is 18.