(x^2-x-12) /x^2+5x+6
You asked:
Evaluate the expression: \(\frac{{x}^{2} - x - 12}{{x}^{2}} + 5 x + 6\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{{x}^{2} - x - 12}{{x}^{2}} + 5 x + 6 = 5 x + 6 + \frac{x^{2} - x - 12}{x^{2}} \)
Expanded
\[\frac{{x}^{2} - x - 12}{{x}^{2}} + 5 x + 6 = 5 x + 7 - \frac{1}{x} - \frac{12}{x^{2}}\]
Factored
\[\frac{{x}^{2} - x - 12}{{x}^{2}} + 5 x + 6 = \frac{5 x^{3} + 7 x^{2} - x - 12}{x^{2}}\]