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6a^{2}-xa-15x^{2}
Consider 6a^{2}-ax-15x^{2} as a polynomial over variable a.
\left(3x+2a\right)\left(-5x+3a\right)
Find one factor of the form ka^{m}+n, where ka^{m} divides the monomial with the highest power 6a^{2} and n divides the constant factor -15x^{2}. One such factor is 3x+2a. Factor the polynomial by dividing it by this factor.