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16x^{2}+8yx-35y^{2}
Consider 16x^{2}+8xy-35y^{2} as a polynomial over variable x.
\left(4x+7y\right)\left(4x-5y\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 16x^{2} and n divides the constant factor -35y^{2}. One such factor is 4x+7y. Factor the polynomial by dividing it by this factor.