# Appendix A - Exercise Set - Page 976: 49

$4(x+2)(x-2)$

#### Work Step by Step

Step 1: $4x^{2}-16$ Step 2: Both terms have a common factor of $4$, which is factored out: $4x^{2}-16=4(x^{2}-4)$. Step 3: $4(x^{2}-4)$ can be further factored into $4(x^{2}-4)=4(x+2)(x-2)$. Step 4: No further factorization possible.

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