Example 37

$\;\;\;(6 + xy^{2})^2$

$=(A + B)^2 \text{, where } A = 6 \text{ and } B = xy^{2} $

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

$=(6)^2 + 2(6)(xy^{2}) + (xy^{2})^2 $

$=36 + 12xy^{2} +x^{2}y^{4} $