Example 61

$\;\;\;(3p^{4} - 8q^{6})^2$

$=(A - B)^2 \text{, where } A = 3p^{4} \text{ and } B = 8q^{6} $

$=A^2 - 2AB + B^2$

$=(3p^{4})^2 - 2(3p^{4})(8q^{6}) + (8q^{6})^2 $

$=9p^{8} - 48p^{4}q^{6} +64q^{12} $