Question

What is the product of 6+5i and 4+7i?

Answer 1

-11+62i

Explanation:

(6+5i)(4+7i)

Use the Distributive Property

24 + 42i + 20i + 35i²

Combine like terms

24+62i+35i^2

i^2 = -1

24+62i+35(-1)

24+62i+(-35)

24+(-35)= -11

-11+62i

Answer 2

(6 + 5i)(4 + 7i) = 24 + 42i + 20i + 35i²
= 35i² + 62i + 24

The product of 6+5i and 4+7i is 35i² + 62i + 24.