Perform the Indicated Operation and Express Your Answer in Simplest $\frac { 5 } { x ^ { 2 } + 3 } - \frac { 2 } { x ^ { 2 } - 4 x - 5 }$

question 8

Multiple Choice

Perform the indicated operation and express your answer in simplest form. $\frac { 5 } { x ^ { 2 } + 3 } - \frac { 2 } { x ^ { 2 } - 4 x - 5 }$

• A) \(\frac { 3 x ^ { 2 } - 20 x - 31 } { \left( x ^ { 2 } + 3 \right) ( x - 1 ) ( x + 5 ) }\)
• B) \(\frac { x ^ { 2 } - 20 x - 31 } { \left( x ^ { 2 } + 3 \right) ( x - 1 ) ( x + 5 ) }\)
• C) \(\frac { x ^ { 2 } - 20 x - 31 } { \left( x ^ { 2 } + 3 \right) ( x + 1 ) ( x - 5 ) }\)
• D) \(\frac { x ^ { 2 } - 20 x - 31 } { \left( x ^ { 2 } - 3 \right) ( x + 1 ) ( x - 5 ) }\)
• E) \(\frac { 3 x ^ { 2 } - 20 x - 31 } { \left( x ^ { 2 } + 3 \right) ( x + 1 ) ( x - 5 ) }\)

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Definitions:

Conversion Costs

Costs associated with converting raw materials into finished goods, typically including direct labor and manufacturing overhead.

Equivalent Units

A concept in cost accounting used to express the amount of work done on partially finished goods, converted to a number of fully finished units.

Processing Department

A specific section within a manufacturing facility focused on a particular stage of production or processing activity, essential for completing the manufacturing of goods.

Weighted-Average Method

An inventory costing method that assigns a cost to inventory items based on the average cost of all similar items purchased or produced.