Example 10

$\;\;\;(8u^{11} + 7v^{3})^2$

$=(A + B)^2 \text{, where } A = 8u^{11} \text{ and } B = 7v^{3} $

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

$=(8u^{11})^2 + 2(8u^{11})(7v^{3}) + (7v^{3})^2 $

$=64u^{22} + 112u^{11}v^{3} +49v^{6} $