Factor
\left(a+3b\right)\left(4a+b\right)
Evaluate
\left(a+3b\right)\left(4a+b\right)
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4a^{2}+13ba+3b^{2}
Consider 4a^{2}+13ab+3b^{2} as a polynomial over variable a.
\left(4a+b\right)\left(a+3b\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 3b^{2}. One such factor is 4a+b. Factor the polynomial by dividing it by this factor.
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