# Chapter 7 - Section 7.1 - Simplifying Rational Expressions - Exercise Set - Page 490: 51

$\dfrac{4-x^{2}}{x-2}=-x-2$

#### Work Step by Step

$\dfrac{4-x^{2}}{x-2}$ Factor the numerator: $\dfrac{4-x^{2}}{x-2}=\dfrac{(2-x)(2+x)}{x-2}=...$ Change the sign of the denominator. To do so, also change the sign of the fraction. After that, simplify: $...=-\dfrac{(2-x)(2+x)}{2-x}=-(2+x)=-x-2$

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