Question

How do you solve (3+7i)(2-5i)and put it in standard form?

Answer 1

41 - i

Explanation:

note that i² = - 1

Given

(3 + 7i)(2 - 5i) ← expand the factors using FOIL

= 6 - 15i + 14i - 35i² ← collect like terms

= 6 - i + 35

= 41 - i ← in standard form