Simplify
- $5 \sqrt [ 3 ] { x ^ { 2 } } \left( \sqrt [ 3 ] { 25 x } - \sqrt [ 3 ] { 25 x ^ { 8 } } \right)$

question 7

Multiple Choice

Simplify.
- $5 \sqrt [ 3 ] { x ^ { 2 } } \left( \sqrt [ 3 ] { 25 x } - \sqrt [ 3 ] { 25 x ^ { 8 } } \right)$

• A) \(25 x - 5 x ^ { 9 } \sqrt [ 3 ] { 25 }\)
• B) \(25 x - 5 x ^ { 3 } \sqrt [ 3 ] { 5 x }\)
• C) \(5 x \sqrt [ 3 ] { 25 } - 5 x ^ { 3 } \sqrt [ 3 ] { 25 x }\)
• D) \(5 x \sqrt [ 3 ] { 25 x } - 5 x ^ { 3 } \sqrt [ 3 ] { 5 }\)

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Definitions:

Employ More Labor

The process of hiring additional personnel to increase the output or productivity of a business.

Employ More Capital

The process of investing additional funds or resources into a business to increase its capacity or efficiency.

Marginal Product

The boost in production resulting from one more unit of input.

Total Product Curve

A graphical representation showing how the total quantity of output produced by a firm varies with the quantity of a variable input, keeping all other inputs constant.