(x+5)/(5)*(x^(2))/(x^(2)-25)
You asked:
Evaluate the expression: \(\frac{\frac{x + 5}{5} {x}^{2}}{{x}^{2} - 25}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{\frac{x + 5}{5} {x}^{2}}{{x}^{2} - 25} = \frac{x^{2} \left(x + 5\right)}{5 \left(x^{2} - 25\right)} \)
Expanded
\[\frac{\frac{x + 5}{5} {x}^{2}}{{x}^{2} - 25} = \frac{x^{3}}{5 x^{2} - 125} + \frac{5 x^{2}}{5 x^{2} - 125}\]
Factored
\[\frac{\frac{x + 5}{5} {x}^{2}}{{x}^{2} - 25} = \frac{x^{2}}{5 \left(x - 5\right)}\]