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