Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 1 - Section 1.3 - Algebraic Expressions - 1.3 Exercises: 26

Answer

8$s^2$ + 18s - 5

Work Step by Step

The FOIL method stands for First, Outside, Inside, Last. This means you multiply the first term of each binomial together, in this instance 4s and 2s, giving 8$s^2$. Next you multiply the two "Outside" terms, meaning the first term of the first expression and the second term of the second expression, in this case 4s and 5, giving 20s. Next you multiply the "Inside" terms, meaning the second term of the first expression and the first term of the second expression, in this case -1 and 2s, giving -2s. Finally you multiply the last terms, -1 and 5, giving -5. Now add the terms from these four operations: 8$s^2$ + 20s + -2s + -5 8$s^2$ + 18s - 5
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