## Algebra 2 (1st Edition)

Published by McDougal Littell

# Chapter 4 Quadratic Functions and Factoring - 4.6 Perform Operations with Complex Numbers - 4.6 Exercises - Skill Practice - Page 280: 53

#### Answer

$-125+90i$

#### Work Step by Step

$5i(3+2i)(8+3i)\qquad$ ...apply the FOIL method to multiply $(3+2i)(8+3i)$ $=5i(3\cdot 8+3\cdot 3i+2i\cdot 8+2i\cdot 3i)\qquad$ ...simplify ($i^{2}=-1$). $=5i(24+9i+16i-6)\qquad$ ...simplify $=5i(18+25i)\qquad$ ...apply the distributive property. $=90i+125i^{2}\qquad$ ...simplify $=-125+90i$

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