Factor
\left(a+b+2c\right)\left(2a+b+c\right)
Evaluate
\left(a+b+2c\right)\left(2a+b+c\right)
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2a^{2}+\left(3b+5c\right)a+b^{2}+2c^{2}+3bc
Consider 2a^{2}+b^{2}+2c^{2}+3ab+5ac+3bc as a polynomial over variable a.
\left(2a+b+c\right)\left(a+b+2c\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 b^{2}+3bc+2c^{2}. One such factor is 2a+b+c. Factor the polynomial by dividing it by this factor.
Examples
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