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15x^{2}-11yx-12y^{2}
Consider 15x^{2}-11xy-12y^{2} as a polynomial over variable x.
\left(3x-4y\right)\left(5x+3y\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 15x^{2} and n divides the constant factor -12y^{2}. One such factor is 3x-4y. Factor the polynomial by dividing it by this factor.