Subtract. Assume that all variables represent positive real numbers $$ \sqrt[3]{48 x}-\sqrt[3]{162 x} $$

Question

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ \sqrt[3]{48x}-\sqrt[3]{162x} $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\sqrt[3]{48x}-\sqrt[3]{162x}$$
- step1: Simplify the root:
  $$2\sqrt[3]{6x}-\sqrt[3]{162x}$$
- step2: Simplify the root:
  $$2\sqrt[3]{6x}-3\sqrt[3]{6x}$$
- step3: Collect like terms:
  $$\left(2-3\right)\sqrt[3]{6x}$$
- step4: Subtract the numbers:
  $$-\sqrt[3]{6x}$$
The result of subtracting $$ \sqrt[3]{48x} $$ from $$ \sqrt[3]{162x} $$ is $$ -\sqrt[3]{6x} $$.
The result is $$ -\sqrt[3]{6x} $$.

Subtract. Assume that all variables represent positive real numbers

Upstudy AI Solution

Answer

Solution

Mind Expander

Related Questions

Latest Algebra Questions