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