Factor
\left(2a+b\right)\left(2a-b+1\right)
Evaluate
\left(2a+b\right)\left(2a-b+1\right)
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4a^{2}+2a-b^{2}+b
Consider 4a^{2}-b^{2}+2a+b as a polynomial over variable a.
\left(2a+b\right)\left(2a-b+1\right)
Find one factor of the form ka^{m}+n, where ka^{m} divides the monomial with the highest power 4a^{2} and n divides the constant factor -b^{2}+b. One such factor is 2a+b. Factor the polynomial by dividing it by this factor.
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