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24x^{2}-2yx-35y^{2}
Consider 24x^{2}-2xy-35y^{2} as a polynomial over variable x.
\left(4x-5y\right)\left(6x+7y\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 24x^{2} and n divides the constant factor -35y^{2}. One such factor is 4x-5y. Factor the polynomial by dividing it by this factor.