Example 114

$\;\;\;(5v^{4} + 11u^{6})(5v^{4} - 11u^{6})$

$=(A + B)( A - B) \text{ , where } A = 5v^{4} \text{ and } B = 11u^{6} $

$=A^2-B^2$

$=(5v^{4})^2 - (11u^{6})^2 $

$=25v^{8} - 121u^{12} $