Factor
\left(a+b-14\right)\left(a-b+2\right)
Evaluate
\left(a+b-14\right)\left(a-b+2\right)
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a^{2}-12a-28+16b-b^{2}
Consider a^{2}-12a-28+16b-b^{2} as a polynomial over variable a.
\left(a-b+2\right)\left(a+b-14\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}+16b-28. One such factor is a-b+2. Factor the polynomial by dividing it by this factor.
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