$\frac{x^2+5x+6}{x^2+11x+24}$
You asked:
Evaluate the expression: \(\frac{{x}^{2} + 5 x + 6}{{x}^{2} + 11 x + 24}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{{x}^{2} + 5 x + 6}{{x}^{2} + 11 x + 24} = \frac{x^{2} + 5 x + 6}{x^{2} + 11 x + 24} \)
Expanded
\[\frac{{x}^{2} + 5 x + 6}{{x}^{2} + 11 x + 24} = \frac{x^{2}}{x^{2} + 11 x + 24} + \frac{5 x}{x^{2} + 11 x + 24} + \frac{6}{x^{2} + 11 x + 24}\]
Factored
\[\frac{{x}^{2} + 5 x + 6}{{x}^{2} + 11 x + 24} = \frac{x + 2}{x + 8}\]