Math Problem Statement
Solution
The expression you uploaded is:
[ \sqrt[3]{3x} + 9 \sqrt[3]{3x} - 2 \sqrt[3]{3x} ]
Since all the terms contain the same cube root factor , they can be combined like like terms:
[ (1 + 9 - 2) \cdot \sqrt[3]{3x} = 8 \cdot \sqrt[3]{3x} ]
Thus, the simplified expression is:
Would you like further details or have any questions about the simplification process?
Here are 5 related questions to deepen understanding:
- How would you simplify if the radicals were square roots instead of cube roots?
- What if the terms inside the radicals were different, say and ?
- Can you explain how to distribute or combine cube roots in general?
- How do cube roots relate to exponents and how can you convert them to fractional exponents?
- How would the solution change if there were an additional term like ?
Tip: Always ensure that terms can be combined by checking if the radical expressions are identical before simplifying.
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Math Problem Analysis
Mathematical Concepts
Algebra
Radicals
Cube Roots
Formulas
(a + b + c) ∛(n) = (a + b + c) × ∛(n)
Theorems
Like Terms with Radicals
Suitable Grade Level
Grades 8-10
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