## Algebra 1

In order to simplify, we want something to be both in the numerator and the denominator of the fraction so it can be canceled out. Thus, we factor and obtain: $(c-4)(c-2)/(c-2)(c+3) \\\\ (c-4)/(c+3)$ c cannot equal 2 or -3, for if c equaled 2 or -3, the denominator of the fraction would cancel out to 0, which is not allowed.