Factor $LaTeX: \displaystyle 70 x^{3} - 70 x^{2} - 28 x + 28$ .

Factoring out the GCF $LaTeX: \displaystyle 14$ from each term gives $LaTeX: \displaystyle 14(5 x^{3} - 5 x^{2} - 2 x + 2)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 5 x^{2}$ , gives $LaTeX: \displaystyle 5 x^{2}(x - 1)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -2$ , gives $LaTeX: \displaystyle -2(x - 1)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle x - 1$ . This gives $LaTeX: \displaystyle 14[5 x^{2} \left(x - 1\right) -2 \cdot \left(x - 1\right)] = 14\left(x - 1\right) \left(5 x^{2} - 2\right)$ .