Answer
$29\sqrt{2}$
Work Step by Step
Using the properties of radicals, then,
\begin{array}{l}
4\sqrt{32}-\sqrt{18}+2\sqrt{128}
\\=
4\sqrt{16\cdot2}-\sqrt{9\cdot2}+2\sqrt{64\cdot2}
\\=
4\cdot4\sqrt{2}-3\sqrt{2}+2\cdot8\sqrt{2}
\\=
16\sqrt{2}-3\sqrt{2}+16\sqrt{2}
\\=
29\sqrt{2}
.\end{array}