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12a^{2}-40ba+25b^{2}
Consider 12a^{2}-40ab+25b^{2} as a polynomial over variable a.
\left(2a-5b\right)\left(6a-5b\right)
Find one factor of the form ka^{m}+n, where ka^{m} divides the monomial with the highest power 12a^{2} and n divides the constant factor 25b^{2}. One such factor is 2a-5b. Factor the polynomial by dividing it by this factor.