(x³ + 27) / (x² + 6x + 9)
You asked:
Evaluate the expression: \(\frac{{x}^{3} + 27}{{x}^{2} + 6 x + 9}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{{x}^{3} + 27}{{x}^{2} + 6 x + 9} = \frac{x^{3} + 27}{x^{2} + 6 x + 9} \)
Expanded
\[\frac{{x}^{3} + 27}{{x}^{2} + 6 x + 9} = \frac{x^{3}}{x^{2} + 6 x + 9} + \frac{27}{x^{2} + 6 x + 9}\]
Factored
\[\frac{{x}^{3} + 27}{{x}^{2} + 6 x + 9} = \frac{x^{2} - 3 x + 9}{x + 3}\]