Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 7 - Polynomial Equations and Factoring - 7.3 - Special Products of Polynomials - Exercises - Page 375: 10

Answer

$36x^2-36xy+9y^2$.

Work Step by Step

The given expression is $=(6x-3y)^2$ Use formula $(a-b)^2=a^2-2ab+b^2$. We have $a=6x$ and $b=3y$. $=(6x)^2-2(6x)(3y)+(3y)^2$ Simplify. $=36x^2-36xy+9y^2$ Hence, the product is $36x^2-36xy+9y^2$.
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