Which of the following expressions represents the product below? (4i + 3)(5 - 2i)

asked Jul 19, 2019 209k views

1 vote

5.4k points

Please log in or register to add a comment.

6 votes

(4i+3)(5-2i)
=20i-8i^2+15-6i
=14i+23

6.0k points

1 vote

Here you have two complex numbers. Multiplying these numbers remember that

i^2=-1.

Now

$(4i + 3)(5 - 2i)=4i\cdot 5-4i\cdot 2i+3\cdot 5-3\cdot 2i=20i-8i^2+15-6i=\\ \\20i-8\cdot (-1)+15-6i=20i+8+15-6i=(8+15)+(20i-6i)=23+14i.$

Answer: 23+14i.

Johni answered Jul 23, 2019

by Johni

6.4k points

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

6.6m questions

8.8m answers