Factor
\left(2a-b\right)\left(a^{2}-ab+2b^{2}\right)
Evaluate
\left(2a-b\right)\left(a^{2}-ab+2b^{2}\right)
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2a^{3}-3ba^{2}+5b^{2}a-2b^{3}
Consider 2a^{3}-3a^{2}b+5ab^{2}-2b^{3} as a polynomial over variable a.
\left(2a-b\right)\left(a^{2}-ab+2b^{2}\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 -2b^{3}. One such factor is 2a-b. Factor the polynomial by dividing it by this factor.
Examples
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