## Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole

# Chapter 1 - Section 1.6 - Complex Numbers - 1.6 Exercises: 30

#### Answer

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

#### 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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