Factor
\left(a-b-3\right)\left(a-b-2\right)
Evaluate
\left(a-b-3\right)\left(a-b-2\right)
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a^{2}+\left(-5-2b\right)a+b^{2}+5b+6
Consider a^{2}-5a+b^{2}+5b-2ab+6 as a polynomial over variable a.
\left(a-b-2\right)\left(a-b-3\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 b^{2}+5b+6. One such factor is a-b-2. Factor the polynomial by dividing it by this factor.
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