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56x^{2}-19yx-15y^{2}
Consider 56x^{2}-19xy-15y^{2} as a polynomial over variable x.
\left(7x-5y\right)\left(8x+3y\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 56x^{2} and n divides the constant factor -15y^{2}. One such factor is 7x-5y. Factor the polynomial by dividing it by this factor.