Answer
$-2\sqrt{3}$
Work Step by Step
Simplify each radical to obtain
$4\sqrt{4(3)} -2\sqrt{25(3)}
\\=4\sqrt{2^2(3)}-2\sqrt{5^2(3)}
\\=4\cdot2\sqrt{3}-2\cdot5\sqrt{3}
\\=8\sqrt{3}-10\sqrt{3}.$
RECALL:
The distributive property states that for any real numbers a, b, and c,
$(ac-bc)=(a-b)c.$
Use the rule above to obtain
$(8-10)\sqrt{3}
\\=-2\sqrt{3}.$
