Factor
\left(7ab^{2}+9\right)\left(49a^{2}b^{4}-63ab^{2}+81\right)
Evaluate
343a^{3}b^{6}+729
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343b^{6}a^{3}+729
Consider 729+343a^{3}b^{6} as a polynomial over variable a.
\left(7ab^{2}+9\right)\left(49a^{2}b^{4}-63ab^{2}+81\right)
Find one factor of the form kb^{m}a^{n}+p, where kb^{m}a^{n} divides the monomial with the highest power 343b^{6}a^{3} and p divides the constant factor 729. One such factor is 7ab^{2}+9. Factor the polynomial by dividing it by this factor.
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