Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - Chapter 5 Test: 9

Answer

$9x^{2}-42xy+49y^{2}$

Work Step by Step

$(3x-7y)^{2}=(3x-7y)(3x-7y)$ To find the product of $(3x-7y)$ and $(3x-7y)$, we need to use the distributive property in which each term of the first polynomial is multiplied to each term of the second polynomial: $(3x-7y)(3x-7y)$ =$3x(3x-7y)-7y(3x-7y)$ =$9x^{2}-21xy-21xy+49y^{2}$ =$9x^{2}-42xy+49y^{2}$
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