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6x^{2}a^{2}-11xya-35y^{2}
Consider 6a^{2}x^{2}-11axy-35y^{2} as a polynomial over variable a.
\left(2ax-7y\right)\left(3ax+5y\right)
Find one factor of the form kx^{m}a^{n}+p, where kx^{m}a^{n} divides the monomial with the highest power 6x^{2}a^{2} and p divides the constant factor -35y^{2}. One such factor is 2ax-7y. Factor the polynomial by dividing it by this factor.