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2\left(x^{3}y-xy+8x^{3}yx\right)
Factor out 2.
xy\left(x^{2}-1+8x^{3}\right)
Consider x^{3}y-xy+8yx^{4}. Factor out xy.
2xy\left(x^{2}-1+8x^{3}\right)
Rewrite the complete factored expression. Polynomial x^{2}-1+8x^{3} is not factored since it does not have any rational roots.