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y^{2}x^{2}-4yx-21
Consider x^{2}y^{2}-4xy-21 as a polynomial over variable x.
\left(xy-7\right)\left(xy+3\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 -21. One such factor is xy-7. Factor the polynomial by dividing it by this factor.