Simplify the Expression $$( \sqrt [ 3 ] { 5 } - 2 ) \left( \sqrt [ 3 ] { 5 ^ { 2 } } + 2 \sqrt [ 3 ] { 5 } + 4 \right)$$

question 589

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$( \sqrt [ 3 ] { 5 } - 2 ) \left( \sqrt [ 3 ] { 5 ^ { 2 } } + 2 \sqrt [ 3 ] { 5 } + 4 \right)$$

• A) 13
• B) \(4 \sqrt [ 3 ] { 5 ^ { 2 } } - 8 \sqrt [ 3 ] { 5 } + 13\)
• C) \(4 \sqrt [ 3 ] { 5 ^ { 2 } } + 8 \sqrt [ 3 ] { 5 } - 3\)
• D) \(- 3\)

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Definitions:

Average Variable Cost

Total variable costs divided by the quantity of output, showing the variable cost per unit of output.

Marginal Cost

The price to produce an additional unit of a product or service.

Total Costs

The total expense of manufacturing that encompasses all constant and fluctuating costs.

Average Variable Cost

The cost of labor and materials divided by the quantity of output, representing the variable cost per unit of production.