Answer
$x\sqrt y$
Work Step by Step
Step 1: $2\sqrt {4x^{2}y}-3x\sqrt y$
Step 2: $2(\sqrt {4x^{2}}\times\sqrt y)-3x\sqrt y$
Step 3: $2(2x\times\sqrt y)-3x\sqrt y$
Step 4: $4x\sqrt y-3x\sqrt y$
Step 5: $\sqrt y(4x-3x)$
Step 6: $\sqrt y(x)$
Step 7: $x\sqrt y$