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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 431 (page 844)

In the following exercise, multiply.
$- 6 i (- 3 - 2 i)$

Short Answer

Expert verified

The value of the expression $- 6 i (- 3 - 2 i)$ is localid="1645012651264" $18 i - 12$ .

Step by step solution

01

Step 1. Given information.

An expression is $- 6 i (- 3 - 2 i)$ .

02

Step 2. Multiply the complex numbers.

Use the distributive property:

a (b + c) = a b + a c

So,

- 6 i (- 3 - 2 i) = - 6 i (- 3) - 6 i (- 2 i) = 18 i + 12 i^{2} = 18 i - 12

03

Step 3. Conclusion.

The obtained value is $18 i - 12$ .

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