body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Pearson Algebra 2 Common Core, 2011

PA

Pearson Algebra 2 Common Core, 2011 View details

End-of-Course Assessment

Finish the assignment

Exercise 6 Page 964

Use the definition of the the imaginary unit i. Then, simplify the expression by combining like terms.

I

Practice makes perfect

We want to find the product of two complex numbers. (2+5i)(4+3i) To do so, we will begin by distributing one of the terms.

(2+5i)(4+3i)

Distribute (2+5i)

4(2+5i)+3i(2+5i)

Distribute 4

8+20i+3i(2+5i)

Distribute 3i

8+20i+6i+15i^2

Now, we can recall the definition of the imaginary unit i. i^2= -1 We will use this definition into the given expression. Then, we will simplify the result by combining like terms. Let's do it!

8+20i+6i+15i^2

i^2=- 1

8+20i+6i+15(- 1)

a(- b)=- a * b

8+20i+6i+(- 15)

a+(- b)=a-b

8+20i+6i-15

Add and subtract terms

-7 +26 i

This corresponds to option I.

Subchapter links

Exercises p.964-971