Example 8

$\;\;\;(11a^{9} + 4b^{11})^2$

$=(A + B)^2 \text{, where } A = 11a^{9} \text{ and } B = 4b^{11} $

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

$=(11a^{9})^2 + 2(11a^{9})(4b^{11}) + (4b^{11})^2 $

$=121a^{18} + 88a^{9}b^{11} +16b^{22} $