Multiply, and Then Simplify If Possible $( \sqrt [ 3 ] { x } + 2 ) ( \sqrt [ 3 ] { x } - 3 \sqrt { x } + 3 )$

question 58

Multiple Choice

Multiply, and then simplify if possible. Assume all variables represent positive real numbers.
- $( \sqrt [ 3 ] { x } + 2 ) ( \sqrt [ 3 ] { x } - 3 \sqrt { x } + 3 )$

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

---

Definitions:

Price Conscious

Being aware of and giving importance to the cost of goods and services when making purchasing decisions.

Demand

The desire combined with purchasing power for specific goods or services at a given time and price.

Lunchbox

A container used to carry food, often for consumption at work or school.

Revenue

the total amount of money received by a company for goods sold or services provided during a certain period.