Simplify Assume That All Variables Represent Positive Real Numbers $\sqrt{75 x}+\sqrt{3 x}-\sqrt{12 x}$

Short Answer

Simplify. Assume that all variables represent positive real numbers.
(a) $\sqrt{75 x}+\sqrt{3 x}-\sqrt{12 x}$
(b) $(\sqrt[3]{3}+2)(\sqrt[3]{9}+4)$
(c) $(\sqrt{u}-\sqrt{v})(\sqrt{u}+\sqrt{v})$