Example 35

$\;\;\;(2a^{4} + b^{5})^2$

$=(A + B)^2 \text{, where } A = 2a^{4} \text{ and } B = b^{5} $

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

$=(2a^{4})^2 + 2(2a^{4})(b^{5}) + (b^{5})^2 $

$=4a^{8} + 4a^{4}b^{5} +b^{10} $