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: 67

Answer

$7x^2+38xy+15y^2$

Work Step by Step

$$(x+5y)(7x+3y)$$ To multiply two binomials (expressions with two terms) multiply each term in the first binomial by each term in the second binomial: $$=(x\times 7x)+(x\times 3y)+(5y\times 7x)+(5y\times 3y)$$ $$=7x^2+3xy+35xy+15y^2$$ Combine like terms: $$=7x^2+38xy+15y^2$$
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