\[\dfrac{x^2-2x-15}{x^2-9}\]
You asked:
Evaluate the expression: \(\frac{{x}^{2} - 2 x - 15}{{x}^{2} - 9}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{{x}^{2} - 2 x - 15}{{x}^{2} - 9} = \frac{x^{2} - 2 x - 15}{x^{2} - 9} \)
Expanded
\[\frac{{x}^{2} - 2 x - 15}{{x}^{2} - 9} = \frac{x^{2}}{x^{2} - 9} - \frac{2 x}{x^{2} - 9} - \frac{15}{x^{2} - 9}\]
Factored
\[\frac{{x}^{2} - 2 x - 15}{{x}^{2} - 9} = \frac{x - 5}{x - 3}\]