Factor
\left(a+2b+3c\right)\left(3a+b+2c\right)
Evaluate
\left(a+2b+3c\right)\left(3a+b+2c\right)
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3a^{2}+\left(7b+11c\right)a+2b^{2}+6c^{2}+7bc
Consider 3a^{2}+2b^{2}+6c^{2}+7ab+11ac+7bc as a polynomial over variable a.
\left(3a+b+2c\right)\left(a+2b+3c\right)
Find one factor of the form ka^{m}+n, where ka^{m} divides the monomial with the highest power 3a^{2} and n divides the constant factor 2b^{2}+7bc+6c^{2}. One such factor is 3a+b+2c. Factor the polynomial by dividing it by this factor.
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