$$x^{2}+x(2y-1)-3y^{2}+5y-2$$
$\left(x-y+1\right)\left(x+3y-2\right)$
$$x^{2}+2xy-x-3y^{2}+5y-2$$
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$x^{2}+2xy-x-3y^{2}+5y-2$
