Factor $LaTeX: \displaystyle 36 x^{3} - 36 x^{2} - 90 x + 90$ .

Factoring out the GCF $LaTeX: \displaystyle 18$ from each term gives $LaTeX: \displaystyle 18(2 x^{3} - 2 x^{2} - 5 x + 5)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 2 x^{2}$ , gives $LaTeX: \displaystyle 2 x^{2}(x - 1)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -5$ , gives $LaTeX: \displaystyle -5(x - 1)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle x - 1$ . This gives $LaTeX: \displaystyle 18[2 x^{2} \left(x - 1\right) -5 \cdot \left(x - 1\right)] = 18\left(x - 1\right) \left(2 x^{2} - 5\right)$ .