Solve (2 + 3i)(5 - 4i)

Evaluate

(2 + 3 i) (5 - 4 i)

Apply the distributive property

2 \times 5 + 2 (- 4 i) + 3 i \times 5 + 3 i (- 4 i)

Multiply the numbers

10 + 2 (- 4 i) + 3 i \times 5 + 3 i (- 4 i)

Multiply the numbers

10 - 8 i + 3 i \times 5 + 3 i (- 4 i)

Multiply the numbers

10 - 8 i + 15 i + 3 i (- 4 i)

Multiply the numbers

More Steps

10 - 8 i + 15 i + 12

Calculate

22 - 8 i + 15 i

Solution

More Steps

22 + 7 i

Simplify the expression