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\frac{2xy^{2}-6x^{2}+xy^{2}-x^{2}}{2}
Factor out \frac{1}{2}.
x\left(2y^{2}-6x+y^{2}-x\right)
Consider 2xy^{2}-6x^{2}+xy^{2}-x^{2}. Factor out x.
\frac{x\left(-7x+3y^{2}\right)}{2}
Rewrite the complete factored expression.