Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.6 - Complex Numbers - 1.6 Exercises - Page 64: 30


$(5-3i)(1+i)$ = $8+2i$

Work Step by Step

1. $(5-3i)(1+i)$ 2. Multiply the two binomials together (use the FOIL method to distribute the First, Outer, Inner, and Last terms): $5+5i-3i-3i^{2}$ 3. Combine like terms: $-3i^{2}+2i+5$ 4. Change $-3i^{2}$ to 3, because $i^{2}=-1$ and $-3\times-1 = 3$: $3+2i+5$ 5. Combine like terms: $8+2i$
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