$\frac{x^2+14x+40}{x^2+3x-70}$
You asked:
Evaluate the expression: \(\frac{{x}^{2} + 14 x + 40}{{x}^{2} + 3 x - 70}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{{x}^{2} + 14 x + 40}{{x}^{2} + 3 x - 70} = \frac{x^{2} + 14 x + 40}{x^{2} + 3 x - 70} \)
Expanded
\[\frac{{x}^{2} + 14 x + 40}{{x}^{2} + 3 x - 70} = \frac{x^{2}}{x^{2} + 3 x - 70} + \frac{14 x}{x^{2} + 3 x - 70} + \frac{40}{x^{2} + 3 x - 70}\]
Factored
\[\frac{{x}^{2} + 14 x + 40}{{x}^{2} + 3 x - 70} = \frac{x + 4}{x - 7}\]