Perform the Indicated Operations and Simplify the Result $\frac { 9 x ^ { 4 } - 72 x } { 3 x ^ { 2 } - 12 } \cdot \frac { x ^ { 2 } + x - 2 } { 4 x ^ { 3 } + 8 x ^ { 2 } + 16 x }$

question 46

Multiple Choice

Perform the indicated operations and simplify the result. Leave the answer in factored form.
- $\frac { 9 x ^ { 4 } - 72 x } { 3 x ^ { 2 } - 12 } \cdot \frac { x ^ { 2 } + x - 2 } { 4 x ^ { 3 } + 8 x ^ { 2 } + 16 x }$

• A) \(\frac { 3 x ( x + 1 ) } { 4 }\)
• B) \(\frac { 3 x ( x - 1 ) ( x - 2 ) ^ { 2 } } { 4 ( x + 2 ) ^ { 2 } }\)
• C) \(\frac { 3 x ( x - 1 ) } { 4 }\)
• D) \(\frac { 3 ( x - 1 ) } { 4 }\)

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Definitions:

Conversion Activities

Activities in manufacturing that convert raw materials into finished goods.

Weighted Average Method

An inventory valuation method that calculates the cost of goods sold and ending inventory based on the average cost of all inventory items.

Overhead Costs

Indirect costs incurred in the running of a business that cannot be directly attributed to any specific product or service.

Process Costing System

A method of costing used where identical or similar items are produced in mass, costs are accumulated for a fixed period and assigned to all units produced.