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