Example 79

$\;\;\;(11v^{2} - u^{6})^2$

$=(A - B)^2 \text{, where } A = 11v^{2} \text{ and } B = u^{6} $

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

$=(11v^{2})^2 - 2(11v^{2})(u^{6}) + (u^{6})^2 $

$=121v^{4} - 22u^{6}v^{2} +u^{12} $