# Chapter R - Section R.7 - Rational Expressions - R.7 Assess Your Understanding: 12

$\dfrac{x+2}{x-2}; x \ne-2, 2$

#### Work Step by Step

Factor the numerator and the denominator completely to obtain: $=\dfrac{(x+2)(x+2)}{(x-2)(x+2)}$ Cancel the common factors to obtain: $\require{cancel} \\=\dfrac{\cancel{(x+2)}(x+2)}{(x-2)\cancel{(x+2)}} \\=\dfrac{x+2}{x-2}; x \ne-2, 2$ ($x$ cannot be $-2$ and $2$ because they will make the original expression undefined.)

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.