Evaluate
\frac{\left(x+18\right)^{2}}{9}
Factor
\frac{\left(x+18\right)^{2}}{9}
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\frac{x^{2}}{9}+\frac{9\left(4x+36\right)}{9}
To add or subtract expressions, expand them to make their denominators the same. Multiply 4x+36 times \frac{9}{9}.
\frac{x^{2}+9\left(4x+36\right)}{9}
Since \frac{x^{2}}{9} and \frac{9\left(4x+36\right)}{9} have the same denominator, add them by adding their numerators.
\frac{x^{2}+36x+324}{9}
Do the multiplications in x^{2}+9\left(4x+36\right).
\frac{x^{2}+36x+324}{9}
Factor out \frac{1}{9}.
\left(x+18\right)^{2}
Consider x^{2}+36x+324. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=x and b=18.
\frac{\left(x+18\right)^{2}}{9}
Rewrite the complete factored expression.
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