Factor $LaTeX: \displaystyle 18 x^{3} + 24 x^{2} + 60 x + 80$ .

Factoring out the GCF $LaTeX: \displaystyle 2$ from each term gives $LaTeX: \displaystyle 2(9 x^{3} + 12 x^{2} + 30 x + 40)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 3 x^{2}$ , gives $LaTeX: \displaystyle 3 x^{2}(3 x + 4)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 10$ , gives $LaTeX: \displaystyle 10(3 x + 4)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 3 x + 4$ . This gives $LaTeX: \displaystyle 2[3 x^{2} \left(3 x + 4\right) +10 \cdot \left(3 x + 4\right)] = 2\left(3 x + 4\right) \left(3 x^{2} + 10\right)$ .