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: 73



Work Step by Step

$$(7x+5y)^2$$ To square a binomial, multiply it by itself: $$(7x+5y)(7x+5y)$$ To multiply two binomials (expressions with two terms) multiply each term in the first binomial by each term in the second binomial: $$=(7x\times 7x)+(7x\times 5y)+(5y\times 7x)+(5y\times 5y)$$ $$=49x^2+35xy+35xy+25y^2$$ Combine like terms: $$=49x^2+70xy+25y^2$$
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