$$x^{2}-y^{2},x^{3}-y^{3},x^{4}+x^{2}y^{2}+y^{4}$$
$\left(x^{2}-y^{2}\right)\left(\left(xy\right)^{2}-\left(-x^{2}-y^{2}\right)^{2}\right)$
$$x^{2}-y^{2}=\left(x+y\right)\left(x-y\right)$$ $$x^{3}-y^{3}=\left(x-y\right)\left(x^{2}+xy+y^{2}\right)$$
$$\left(x-y\right)\left(x+y\right)\left(-x^{2}+xy-y^{2}\right)\left(x^{2}+xy+y^{2}\right)$$
$$-x^{6}+y^{6}$$
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$x^{2}-y^{2},x^{3}-y^{3},x^{4}+y^{4}+\left(xy\right)^{2}$
