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6x^{2}+\left(7y-3\right)x-20y^{2}+4y
Consider 6x^{2}+7xy-20y^{2}-3x+4y as a polynomial over variable x.
\left(3x-4y\right)\left(2x+5y-1\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 6x^{2} and n divides the constant factor -20y^{2}+4y. One such factor is 3x-4y. Factor the polynomial by dividing it by this factor.