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30x^{2}+17yx-21y^{2}
Consider 30x^{2}+17xy-21y^{2} as a polynomial over variable x.
\left(5x-3y\right)\left(6x+7y\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 30x^{2} and n divides the constant factor -21y^{2}. One such factor is 5x-3y. Factor the polynomial by dividing it by this factor.