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\frac{9x^{2}+24x+16}{9}
Factor out \frac{1}{9}.
\left(3x+4\right)^{2}
Consider 9x^{2}+24x+16. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=3x and b=4.
\frac{\left(3x+4\right)^{2}}{9}
Rewrite the complete factored expression.