24.9k views
1 vote
What is the standard form of (7 - 5i)(2 + 3i)?

User Zveratko
by
3.5k points

1 Answer

3 votes

Answer:

29 + 11i

Explanation:

To multiply use FOIL method

(7 - 5i)(2 + 3i) = 7*2 + 7*3i + (-5i)*2 + (-5i)*3i

= 14 + 21i - 10i -15i²

= 14 + 11i - 15*(-1) {i² = -1}

= 14 + 11i + 15

= 14 + 15 + 11i

= 29 + 11i

User Sagar Naliyapara
by
3.6k points