Evaluate
\frac{3x^{2}+27x+47}{3\left(x+2\right)}
Expand
\frac{3x^{2}+27x+47}{3\left(x+2\right)}
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\frac{3\left(x-\left(-\frac{1}{6}\sqrt{165}-\frac{9}{2}\right)\right)\left(x-\left(\frac{1}{6}\sqrt{165}-\frac{9}{2}\right)\right)}{3\left(x+2\right)}
Factor the expressions that are not already factored.
\frac{\left(x-\left(-\frac{1}{6}\sqrt{165}-\frac{9}{2}\right)\right)\left(x-\left(\frac{1}{6}\sqrt{165}-\frac{9}{2}\right)\right)}{x+2}
Cancel out 3 in both numerator and denominator.
\frac{x^{2}+9x+\frac{47}{3}}{x+2}
Expand the expression.
\frac{3\left(x-\left(-\frac{1}{6}\sqrt{165}-\frac{9}{2}\right)\right)\left(x-\left(\frac{1}{6}\sqrt{165}-\frac{9}{2}\right)\right)}{3\left(x+2\right)}
Factor the expressions that are not already factored.
\frac{\left(x-\left(-\frac{1}{6}\sqrt{165}-\frac{9}{2}\right)\right)\left(x-\left(\frac{1}{6}\sqrt{165}-\frac{9}{2}\right)\right)}{x+2}
Cancel out 3 in both numerator and denominator.
\frac{x^{2}+9x+\frac{47}{3}}{x+2}
Expand the expression.
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