Answer
$-18-13i$
Work Step by Step
$(-2+5i)(-1+4i)\qquad$ ...use the FOIL method.
$=(-2)(-1)+(-2)(4i)+(5i)(-1)+(5i)(4i)\qquad$ ...simplify.
$=2-8i-5i+20i^{2}\qquad$ ...simplify. ($i^{2}=-1$)
$=2-8i-5i+-20\qquad$ ...add like terms.
$=-18-13i$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 4 Quadratic Functions and Factoring - 4.6 Perform Operations with Complex Numbers - 4.6 Exercises - Skill Practice - Page 280: 25
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