Question

Question 1 of 10 Which choice is equivalent to the expression below when x2 0? V50x3 - 25x3 +5/X3 - 220 O A. 45 B. 28 VX O C. 4x/2x OD. 5.2

Answer 1

`\begin{gathered} \sqrt[]{50x^3}-\sqrt[]{25x^3}+5\sqrt[]{x^3}-\sqrt[]{2x^3}= \\ =\sqrt[]{5^2\cdot2x^3}-\sqrt[]{5^2x^3}+5\sqrt[]{x^3}-\sqrt[]{2x^3}= \\ =\sqrt[]{5^2}\cdot\sqrt[]{2x^3}-\sqrt[]{5^2}\cdot\sqrt[]{x^3}+5\sqrt[]{x^3}-\sqrt[]{2x^3}= \\ =5\sqrt[]{2x^3}-5\sqrt[]{x^3}+5\sqrt[]{x^3}-\sqrt[]{2x^3}= \\ =4\sqrt[]{2x^3}= \\ =4\sqrt[]{2x^2\cdot x}= \\ =4x\sqrt[]{2x} \end{gathered}`