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: 28

Answer

14$y^2$ - 13y + 3

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 7y and 2y, giving 14$y^2$. 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 7y and -1, giving -7. 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 -3 and 2y, giving -6y. Finally you multiply the last terms, -3 and -1, giving 3. Now add the terms from these four operations: 14$y^2$ + -7y + -6y + 3 14$y^2$ - 13y + 3
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