Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 4 - Quadratic Functions and Equations - 4-4 Factoring Quadratic Expressions - Practice and Problem-Solving Exercises - Page 221: 53

Answer

$(x+2)(x-2)$

Work Step by Step

Using the factoring of the difference of $2$ squares which is given by $a^2-b^2=(a+b)(a-b),$ the given $\text{ expression, }$ $ x^2-4 ,$ is equivalent to \begin{align*} & (x)^2-(2)^2 \\&= (x+2)(x-2) .\end{align*} The factored form of the given expression is $ (x+2)(x-2) .$
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