Multiply, and Then Simplify If Possible $$( \sqrt [ 3 ] { x } + - 6 ) ( \sqrt [ 3 ] { x } + 4 \sqrt { x } - 4 )$$

question 18

Multiple Choice

Multiply, and then simplify if possible. Assume all variables represent positive real numbers.
- $$( \sqrt [ 3 ] { x } + - 6 ) ( \sqrt [ 3 ] { x } + 4 \sqrt { x } - 4 )$$

• A) \(4 \sqrt [ 6 ] { x ^ { 5 } } - 9 \sqrt [ 3 ] { x } - 24 \sqrt { x } + 24\)
• B) \(4 \sqrt [ 6 ] { x ^ { 5 } } + \sqrt [ 3 ] { x ^ { 2 } } - 10 \sqrt [ 3 ] { x } - 24 \sqrt { x } + 24\)
• C) \(\sqrt [ 3 ] { x ^ { 2 } } - 10 \sqrt [ 3 ] { x } - 24 \sqrt { x } + 4 \sqrt [ 6 ] { x } + 24\)
• D) \(- 10 \sqrt [ 3 ] { x } - 24 \sqrt { x } + 4 \sqrt [ 6 ] { x } + \sqrt [ 9 ] { x } + 24\)

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Definitions:

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A chemical messenger that plays a critical role in controlling body movement, focus, memory, motivation, and the reward system.