Example 22

$\;\;\;(8p + 7q^{6})^2$

$=(A + B)^2 \text{, where } A = 8p \text{ and } B = 7q^{6} $

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

$=(8p)^2 + 2(8p)(7q^{6}) + (7q^{6})^2 $

$=64p^{2} + 112pq^{6} +49q^{12} $