Example 118

$\;\;\;(v + 2u^{10})(v - 2u^{10})$

$=(A + B)( A - B) \text{ , where } A = v \text{ and } B = 2u^{10} $

$=A^2-B^2$

$=(v)^2 - (2u^{10})^2 $

$=v^{2} - 4u^{20} $