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