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