111k views
2 votes
Evaluate The Expression (-2-10i)(3-10i) And Write The Result In The Form A+Bi.

User Miknash
by
7.6k points

1 Answer

1 vote

Sure, I'd be glad to help with that! The expression you've asked for is the multiplication of two complex numbers. You've given me the numbers (-2-10i) and (3-10i) to multiply.

Let's go through multiplying these step by step.

1. First, let's distribute the numbers in the same way you might with a binomial:

(-2 - 10i) * (3 - 10i) = -2 * 3 + -2 * -10i + -10i * 3 + -10i * -10i

2. Which simplifies to:

-6 + 20i - 30i + 100

3. But we have to remember the definition of i, which states that i squared = -1. So, we substitute that into our equation:

-6 + 20i - 30i + 100 * -1

4. And get:

-106 - 10i

So, the expression (-2-10i)(3-10i) equals -106 - 10i when written in the form a + bi.

User Ying
by
8.4k points

Related questions

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