Factor
\left(x-y-2\right)\left(x+y-4\right)
Evaluate
\left(x-y-2\right)\left(x+y-4\right)
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x^{2}-6x-y^{2}+2y+8
Consider x^{2}-6x-y^{2}+2y+8 as a polynomial over variable x.
\left(x-y-2\right)\left(x+y-4\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 -y^{2}+2y+8. One such factor is x-y-2. Factor the polynomial by dividing it by this factor.
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