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In $26-37,$ find each product.$$(3+2 i)(3+3 i)$$

$3+15 i$

Algebra

Chapter 5

QUADRATIC FUNCTIONS AND COMPLEX NUMBERS

Section 5

Operations with Complex Numbers

Equations and Inequalities

Quadratic Functions

Complex Numbers

Polynomials

University of Michigan - Ann Arbor

Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

01:22

In $26-37,$ find each prod…

02:03

00:59

00:51

02:14

01:16

01:27

01:56

00:48

Find each product.$$

to multiply complex numbers. We use the same method we would use to multiply by no meals, which is the foil method. So we multiply the first and we get nine. Multiply the outsides and we get nine. I multiply the insides and we get six I and multiply the last and we get six. I squared. Now remember that I squared is negative one. So we're going to change that term. And we're also going to add the like terms. Nine I and six I. So we have nine plus 15 I plus six times negative one. Let's simplify six times. Negative one. That's negative. Six. So we have nine plus 15 I minus six. Now we can combine the nine in the minus six. So we have three plus 15 I

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