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\left(4-n\right)\left(4+n\right)
Rewrite 16-n^{2} as 4^{2}-n^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(-n+4\right)\left(n+4\right)
Reorder the terms.