Factor $LaTeX: \displaystyle 70 x^{3} - 63 x^{2} - 40 x + 36$ .

Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 7 x^{2}$ , gives $LaTeX: \displaystyle 7 x^{2}(10 x - 9)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -4$ , gives $LaTeX: \displaystyle -4(10 x - 9)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 10 x - 9$ . This gives $LaTeX: \displaystyle 7 x^{2} \left(10 x - 9\right) -4 \cdot \left(10 x - 9\right) = \left(10 x - 9\right) \left(7 x^{2} - 4\right)$ .