Factor
\left(3a+2b\right)\left(3a+2b-c\right)
Evaluate
\left(3a+2b\right)\left(3a+2b-c\right)
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9a^{2}+\left(12b-3c\right)a+4b^{2}-2bc
Consider 9a^{2}+12ab-3ac+4b^{2}-2bc as a polynomial over variable a.
\left(3a+2b\right)\left(3a+2b-c\right)
Find one factor of the form ka^{m}+n, where ka^{m} divides the monomial with the highest power 9a^{2} and n divides the constant factor 4b^{2}-2bc. One such factor is 3a+2b. Factor the polynomial by dividing it by this factor.
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