Example 11

$\;\;\;(7p^{2} + 11q^{11})^2$

$=(A + B)^2 \text{, where } A = 7p^{2} \text{ and } B = 11q^{11} $

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

$=(7p^{2})^2 + 2(7p^{2})(11q^{11}) + (11q^{11})^2 $

$=49p^{4} + 154p^{2}q^{11} +121q^{22} $