Answer
$-4ab\sqrt[4]{2b}$
Work Step by Step
$2a\sqrt[4]{32b^5}-3b\sqrt[4]{162a^4b}+\sqrt[4]{2a^4b^5}$
$2a\sqrt[4]{2^5b^5}-3b\sqrt[4]{2*3^4a^4b}+\sqrt[4]{2a^4b^4*b}$
$2a\sqrt[4]{(2b)^4*2b}-3b\sqrt[4]{2b*(3a)^4}+\sqrt[4]{2*(ab)^4*b}$
$2a*2b\sqrt[4]{2b}-3b*3a\sqrt[4]{2b}+ab\sqrt[4]{2b}$
$4ab\sqrt[4]{2b}-9ab\sqrt[4]{2b}+ab\sqrt[4]{2b}$
$\sqrt[4]{2b}*(4ab-9ab+ab)$
$\sqrt[4]{2b}*(-4ab)$
$-4ab\sqrt[4]{2b}$