College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.4: 68

Answer

$6x^2+61xy+63y^2$

Work Step by Step

$$(x+9y)(6x+7y)$$ To multiply two binomials (expressions with two terms) multiply each term in the first binomial by each term in the second binomial: $$=(x\times 6x)+(x\times 7y)+(9y\times 6x)+(9y\times 7y)$$ $$=6x^2+7xy+54xy+63y^2$$ Combine like terms: $$=6x^2+61xy+63y^2$$
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