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