## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

# Chapter 5 - Polynomials and Factoring - 5.4 Factoring Perfect-Square Trinomials and Differences of Squares - 5.4 Exercise Set - Page 333: 67

#### Answer

$2(10+t)(10-t)$

#### Work Step by Step

Factoring the $GCF= 2$, the given expression, $200-2t^2 ,$ is equivalent to \begin{array}{l} 2(100-t^2) \end{array} Using $x^2-y^2=(x+y)(x-y)$ or the factoring of the difference of 2 squares, then the factored form of the expression, $2(100-t^2) ,$ is \begin{array}{l} 2(10+t)(10-t) \end{array}

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