Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 3 - Exponents, Polynomials and Functions - 3.1 Rules for Exponents - 3.1 Exercises - Page 233: 49

Answer

A) No B) $4x^2+24x+36 $

Work Step by Step

Given $$\begin{aligned} (2x+6)^2. \end{aligned}$$ Part A No. The power rule is not applicable to addition. Part B We square the binomial by multiplying the binomials using the FOIL method: $$\begin{aligned} (2x+6)^2&= (2x+6)(2x+6)\\ &= 4x^2+12x+12x+36\\ &= 4x^2+24x+36. \end{aligned}$$
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