Factor
\left(n+p\right)\left(n-p+3\right)
Evaluate
\left(n+p\right)\left(n-p+3\right)
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n^{2}+3n+3p-p^{2}
Consider n^{2}+3n+3p-p^{2} as a polynomial over variable n.
\left(n+p\right)\left(n-p+3\right)
Find one factor of the form n^{k}+m, where n^{k} divides the monomial with the highest power n^{2} and m divides the constant factor -p^{2}+3p. One such factor is n+p. Factor the polynomial by dividing it by this factor.
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