Ring/(x^2-3yzy-2zy^2+4xy^2)(2xy^3x-z^2xyx)(1-3zyxz^2y)/Compute/Exercise

Let ${}R$ be a ring, and let ${}x,y$ and ${}z$ denote elements in ${}R$. Compute the product

${\left(x^{2}-3yzy-2zy^{2}+4xy^{2}\right)}{\left(2xy^{3}x-z^{2}xyx\right)}{\left(1-3zyxz^{2}y\right)}.$

What is the result, when the ring is commutative?

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