QuestionSimplify the expression: $\frac{x^{2}-9 x+14}{x^{2}+7 x-18}$.

Studdy Solution
We can see that $(x-2)$ is a common factor in the numerator and the denominator. We can cancel out this common factor to simplify the expression$$\frac{(x-2)(x-7)}{(x-2)(x+9)} = \frac{x-7}{x+9}$$The rational expression in lowest terms is $\frac{x-7}{x+9}$.