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