Factor
\left(2a+b\right)\left(2a+b+6\right)
Evaluate
\left(2a+b\right)\left(2a+b+6\right)
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4a^{2}+\left(4b+12\right)a+b^{2}+6b
Consider 4a^{2}+4ab+b^{2}+12a+6b as a polynomial over variable a.
\left(2a+b\right)\left(2a+b+6\right)
Find one factor of the form ka^{m}+n, where ka^{m} divides the monomial with the highest power 4a^{2} and n divides the constant factor b^{2}+6b. One such factor is 2a+b. Factor the polynomial by dividing it by this factor.
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