(x^2+4)÷(x^3−27)

asked by guest
on Nov 24, 2024 at 8:16 pm



You asked:

Evaluate the expression: \(\frac{{x}^{2} + 4}{{x}^{3} - 27}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{{x}^{2} + 4}{{x}^{3} - 27} = \frac{x^{2} + 4}{x^{3} - 27} \)

Expanded

\[\frac{{x}^{2} + 4}{{x}^{3} - 27} = \frac{x^{2}}{x^{3} - 27} + \frac{4}{x^{3} - 27}\]

Factored

\[\frac{{x}^{2} + 4}{{x}^{3} - 27} = \frac{x^{2} + 4}{\left(x - 3\right) \left(x^{2} + 3 x + 9\right)}\]

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