Example 113

$\;\;\;(10 + 3uv^{3})(10 - 3uv^{3})$

$=(A + B)( A - B) \text{ , where } A = 10 \text{ and } B = 3uv^{3} $

$=A^2-B^2$

$=(10)^2 - (3uv^{3})^2 $

$=100 - 9u^{2}v^{6} $