Factor
\left(a-5b\right)\left(a+5b-1\right)
Evaluate
\left(a-5b\right)\left(a+5b-1\right)
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a^{2}-a-25b^{2}+5b
Consider a^{2}-25b^{2}-a+5b as a polynomial over variable a.
\left(a-5b\right)\left(a+5b-1\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 -25b^{2}+5b. One such factor is a-5b. Factor the polynomial by dividing it by this factor.
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