Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - 11.4 - Complex Numbers - Concept Quiz 11.4: 8

Answer

False

Work Step by Step

To multiply complex numbers, we multiply each term of the first number by each term of the second number and then simplify. $(5+i)(5-i)$ $5(5)+5i-5i+i(-i)$ Let us simplify the expression: $25-i^2$ Since $i^2=-1$, we can rewrite the expression as: $25-(-1)$ When we subtract, we get $26$, which is not $24$.
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