College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 1 - Section 1.3 - Complex Numbers - 1.3 Exercises: 69

Answer

$2-2i$

Work Step by Step

Multiply the numerator and denominator by the conjugate of the complex imaginary number. $\frac{(6+2i)}{(2+2i)}\times\frac{(1-2i)}{(1-2i)}$ Use foil to expand numerator; use the difference of two squares to expand the denominator. $\frac{6-12i+2i-4i^2}{1-4i^2}$ Remember that $i^2=-1$. $\frac{6-10i+4}{1+4}$ Combine like terms in both numerator and denominator. $\frac{10-10i}{5}$ Simplify. Divide both by 5. $2-2i$
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