Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.4 - Multiplying Polynomials - Exercise Set - Page 289: 53

Answer

$36x^2+12x+1$

Work Step by Step

Using the square of a binomial, $(a+b)^2=a^2+2(a)(b)+b^2$, the given expression is equivalent to \begin{align*} & (6x+1)^2 \\\\&= (6x)^2+2(6x)(1)+1^2 \\\\&= 36x^2+12x+1 .\end{align*}
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