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y^{2}x^{2}+12yx-85
Consider x^{2}y^{2}+12xy-85 as a polynomial over variable x.
\left(xy+17\right)\left(xy-5\right)
Find one factor of the form y^{k}x^{m}+n, where y^{k}x^{m} divides the monomial with the highest power y^{2}x^{2} and n divides the constant factor -85. One such factor is xy+17. Factor the polynomial by dividing it by this factor.