Example 103

$\;\;\;(x^{5} + y^{3})(x^{5} - y^{3})$

$=(A + B)( A - B) \text{ , where } A = x^{5} \text{ and } B = y^{3} $

$=A^2-B^2$

$=(x^{5})^2 - (y^{3})^2 $

$=x^{10} - y^{6} $