# How do you simplify (x^2+3x-18)/(x^2-36)?

$\frac{{x}^{2} + 3 x - 18}{{x}^{2} - 36}$
=$\frac{{x}^{2} + 6 x - 3 x - 18}{\left(x + 6\right) \left(x - 6\right)}$
=$\frac{x \left(x + 6\right) - 3 \left(x + 6\right)}{\left(x + 6\right) \left(x - 6\right)}$
=$\frac{\left(x + 6\right) \left(x - 3\right)}{\left(x + 6\right) \left(x - 6\right)}$
=$\frac{x - 3}{x - 6}$