Factor
\left(x-3y-2\right)\left(x-y+6\right)
Evaluate
\left(x-3y-2\right)\left(x-y+6\right)
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x^{2}+\left(-4y+4\right)x+3y^{2}-16y-12
Consider x^{2}+3y^{2}-4xy+4x-16y-12 as a polynomial over variable x.
\left(x-y+6\right)\left(x-3y-2\right)
Find one factor of the form x^{k}+m, where x^{k} divides the monomial with the highest power x^{2} and m divides the constant factor 3y^{2}-16y-12. One such factor is x-y+6. Factor the polynomial by dividing it by this factor.
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