Question

Multiply. $(-3+3 i)(-2-7 i)$

Name: Problem 435, Chapter 8: Intermediate Algebra
Uploaded: 2022-09-24T17:59:54-08:00
Channel: Alison Rodriguez
Description: Multiply. (-3+3 i)(-2-7 i)

   Multiply.
$(-3+3 i)(-2-7 i)$

Intermediate Algebra

Lynn Marecek 2nd Edition

Chapter 8, Problem 435

Instant Answer

Solved by Expert Alison Rodriguez

09/24/2022

Step 1

This gives us: $$(-3 \times -2) + (-3 \times -7i) + (3i \times -2) + (3i \times -7i)$$ Show more…

Show all steps

Thanks for your feedback!

Multiply. $(-3+3 i)(-2-7 i)$

Play audio

Feedback

Alison Rodriguez and 82 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Imaginary Unit

The imaginary unit, denoted by i, is defined such that i² = -1. This property is fundamental in simplifying products and expressions involving complex numbers, transforming powers of i into real numbers.

Multiplication of Complex Numbers

Multiplying complex numbers involves applying the distributive property (often remembered as the FOIL method for binomials) and combining like terms. This process requires careful handling of the imaginary unit i, particularly recognizing that i² equals -1.

Complex Numbers

Complex numbers are numbers of the form a + bi, where a and b are real numbers, and i is the imaginary unit. They extend the real numbers to include solutions to equations that have no real solutions, such as x² + 1 = 0.

Please give Ace some feedback