Question:
Find the value
$10 x^{4} y-10 x y^{4}$
Solution:
$=10 x y\left(x^{3}-y^{3}\right)$
$=10 x y(x-y)\left(x^{2}+x y+y^{2}\right)$
$\therefore\left[x^{3}-y^{3}=(x-y)\left(x^{2}+x y+y^{2}\right)\right]$
$\therefore 10 x^{4} y-10 x y^{4}=10 x y(x-y)\left(x^{2}+x y+y^{2}\right)$
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