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: 9

Answer

$4a^2+4ab+b^2$.

Work Step by Step

The given expression is $=(2a+b)^2$ Use formula $(a+b)^2=a^2+2ab+b^2$. We have $a=2a$ and $b=b$. $=(2a)^2+2(2a)(b)+(b)^2$ Simplify. $=4a^2+4ab+b^2$ Hence, the product is $4a^2+4ab+b^2$.
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