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8y^{2}x^{2}-10yx-3
Consider 8x^{2}y^{2}-10xy-3 as a polynomial over variable x.
\left(2xy-3\right)\left(4xy+1\right)
Find one factor of the form ky^{m}x^{n}+p, where ky^{m}x^{n} divides the monomial with the highest power 8y^{2}x^{2} and p divides the constant factor -3. One such factor is 2xy-3. Factor the polynomial by dividing it by this factor.