(x^2-x-12) /x^2+5x+6

asked by guest
on Jan 12, 2025 at 6:50 pm



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

\[\frac{{x}^{2} - x - 12}{{x}^{2}} + 5 x + 6 = \frac{5 x^{3} + 7 x^{2} - x - 12}{x^{2}}\]