Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Cumulative Review Exercises - Page 481: 14


$$6x^2 + 17xy - 45y^2$$

Work Step by Step

To multiply the two binomials together, we use the FOIL system, where we multiply the first terms, then the outside terms, then the inside terms, and, finally, the last terms: $$(3x)(2x) + (3x)(9y) + (-5y)(2x) + (-5y)(9y)$$ We now multiply out the terms: $$6x^2 + 27xy - 10xy - 45y^2$$ Group like terms together: $$6x^2 + (27xy - 10xy) - 45y^2$$ Combine like terms: $$6x^2 + 17xy - 45y^2$$
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