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3\left(x^{2}-16\right)
Factor out 3.
\left(x-4\right)\left(x+4\right)
Consider x^{2}-16. Rewrite x^{2}-16 as x^{2}-4^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
3\left(x-4\right)\left(x+4\right)
Rewrite the complete factored expression.