Example 63

$\;\;\;(11p^{6} - 5q^{3})^2$

$=(A - B)^2 \text{, where } A = 11p^{6} \text{ and } B = 5q^{3} $

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

$=(11p^{6})^2 - 2(11p^{6})(5q^{3}) + (5q^{3})^2 $

$=121p^{12} - 110p^{6}q^{3} +25q^{6} $