Example 67

$\;\;\;(10 - 3x^{2}y^{2})^2$

$=(A - B)^2 \text{, where } A = 10 \text{ and } B = 3x^{2}y^{2} $

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

$=(10)^2 - 2(10)(3x^{2}y^{2}) + (3x^{2}y^{2})^2 $

$=100 - 60x^{2}y^{2} +9x^{4}y^{4} $