Question

Match each multiplication problem with its simplified answer. Use the Distributive Property to solve them. The multiplication problems are 3i(2+4i), (2-i) (2+i), (1+i) (3-2i), 5(4-3i) and the simplified answers are 5+i, -12+6i, 5, 20-15i.

Answer 1

3i(2+4i) = 6i + 12i^2 = 6i - 12 = -12 + 6i

(2 - i)(2 + i) = 4 - i^2 = 4 + 1 = 5

(1 + i)(3 - 2i) = 3 - 2i + 3i - 2i^2 = 5 + i

5(4 - 3i) = 20 - 15i

So the matches are:
- 3i(2+4i) → -12 + 6i
- (2 - i)(2 + i) → 5
- (1 + i)(3 - 2i) → 5 + i
- 5(4 - 3i) → 20 - 15i