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: 59

Answer

$7x^2y-4xy$ has a degree of 3.

Work Step by Step

$$(5x^2y-3xy)+(2x^2y-xy)$$ $$=5x^2y-3xy+2x^2y-xy$$ $$=5x^2y+2x^2y-3xy-xy$$ $$=(5+2)x^2y + (-3-1)xy$$ $$=7x^2y-4xy$$ This expression has a degree of 3. To find the degree of the express, use the degree of the term with the largest degree. There are two terms: 7x^2y and -4xy. The term 7x^2y has a degree of 3 because you add together the degrees of each of the variables: x has a degree of 2, y has a degree of 1. The term -4xy has a degree of 2 as both the x and y each have a degree of 1.
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