Factor
\left(a+2b\right)\left(2a^{2}-4ab+8b^{2}-5\right)
Evaluate
2a^{3}-5a+16b^{3}-10b
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2a^{3}-5a+16b^{3}-10b
Consider 2a^{3}+16b^{3}-5a-10b as a polynomial over variable a.
\left(a+2b\right)\left(2a^{2}-4ab+8b^{2}-5\right)
Find one factor of the form ka^{m}+n, where ka^{m} divides the monomial with the highest power 2a^{3} and n divides the constant factor 16b^{3}-10b. One such factor is a+2b. Factor the polynomial by dividing it by this factor.
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