#### Answer

$(5\sqrt{3x}-\sqrt{y})(4\sqrt{x}+1)=20x\sqrt{3}+5\sqrt{3x}-4\sqrt{xy}-\sqrt{y}$

#### Work Step by Step

$(5\sqrt{3x}-\sqrt{y})(4\sqrt{x}+1)$
Evaluate the product and simplify if possible:
$(5\sqrt{3x}-\sqrt{y})(4\sqrt{x}+1)=20\sqrt{3x^{2}}+5\sqrt{3x}-4\sqrt{xy}-\sqrt{y}=...$
$...=20x\sqrt{3}+5\sqrt{3x}-4\sqrt{xy}-\sqrt{y}$