Factor
\left(7m-n\right)\left(7m+n+1\right)
Evaluate
\left(7m-n\right)\left(7m+n+1\right)
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49m^{2}+7m-n-n^{2}
Consider 7m-n+49m^{2}-n^{2} as a polynomial over variable m.
\left(7m-n\right)\left(7m+n+1\right)
Find one factor of the form km^{p}+q, where km^{p} divides the monomial with the highest power 49m^{2} and q divides the constant factor -n^{2}-n. One such factor is 7m-n. Factor the polynomial by dividing it by this factor.
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