Answer
$\frac{6x^{2n}}{x^{n}-y^{n}}$.
Work Step by Step
The given expression is
$=\frac{6x^{3n}+6x^{2n}y^n}{x^{2n}-y^{2n}}$
Factor out $6x^{2n}$.
$=\frac{6x^{2n}(x^{n}+y^n)}{(x^{n})^2-(y^{n})^2}$
Use the algebraic identity $a^2-b^2=(a+b)(a-b)$.
$=\frac{6x^{2n}(x^{n}+y^n)}{(x^{n}+y^{n})(x^{n}-y^{n})}$
Cancel common terms.
$=\frac{6x^{2n}}{x^{n}-y^{n}}$.
