Factor
\left(a+b\right)\left(a^{2}+2ab+4b^{2}\right)
Evaluate
\left(a+b\right)\left(a^{2}+2ab+4b^{2}\right)
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a^{3}+3ba^{2}+6b^{2}a+4b^{3}
Consider a^{3}+3a^{2}b+6ab^{2}+4b^{3} as a polynomial over variable a.
\left(a+b\right)\left(a^{2}+2ab+4b^{2}\right)
Find one factor of the form a^{k}+m, where a^{k} divides the monomial with the highest power a^{3} and m divides the constant factor 4b^{3}. One such factor is a+b. Factor the polynomial by dividing it by this factor.
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