Factor $LaTeX: \displaystyle 28 x^{3} - 28 x^{2} + 12 x - 12$ .

Factoring out the GCF $LaTeX: \displaystyle 4$ from each term gives $LaTeX: \displaystyle 4(7 x^{3} - 7 x^{2} + 3 x - 3)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 7 x^{2}$ , gives $LaTeX: \displaystyle 7 x^{2}(x - 1)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 3$ , gives $LaTeX: \displaystyle 3(x - 1)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle x - 1$ . This gives $LaTeX: \displaystyle 4[7 x^{2} \left(x - 1\right) +3 \cdot \left(x - 1\right)] = 4\left(x - 1\right) \left(7 x^{2} + 3\right)$ .