Example 36

$\;\;\;(3u^{2}v + 5)^2$

$=(A + B)^2 \text{, where } A = 3u^{2}v \text{ and } B = 5 $

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

$=(3u^{2}v)^2 + 2(3u^{2}v)(5) + (5)^2 $

$=9u^{4}v^{2} + 30u^{2}v +25 $