\(\sqrt{x+4}\cdot\sqrt{x-4}=\sqrt{\left(x+4\right)\left(x-4\right)}=\sqrt{x^2-16}\)
\(\left(\sqrt{x+4}\right)\cdot\left(\sqrt{x-4}\right)\)
\(=\sqrt{\left(x+4\right)\cdot\left(x-4\right)}\)
\(=\sqrt{x^2-4x+4x-16}\)
\(=\sqrt{x^2-16}\)
\(\sqrt{x+4}\cdot\sqrt{x-4}=\sqrt{\left(x+4\right)\left(x-4\right)}=\sqrt{x^2-16}\)
\(\left(\sqrt{x+4}\right)\cdot\left(\sqrt{x-4}\right)\)
\(=\sqrt{\left(x+4\right)\cdot\left(x-4\right)}\)
\(=\sqrt{x^2-4x+4x-16}\)
\(=\sqrt{x^2-16}\)