Example 75

$\;\;\;(10b^{8} - 11a)^2$

$=(A - B)^2 \text{, where } A = 10b^{8} \text{ and } B = 11a $

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

$=(10b^{8})^2 - 2(10b^{8})(11a) + (11a)^2 $

$=100b^{16} - 220ab^{8} +121a^{2} $