Multiply and Simplify $\frac { 12 x + 12 } { 9 x - 3 } \cdot \frac { 27 x - 9 } { 4 x ^ { 2 } - 4 }$

question 37

Multiple Choice

Multiply and simplify.
- $\frac { 12 x + 12 } { 9 x - 3 } \cdot \frac { 27 x - 9 } { 4 x ^ { 2 } - 4 }$

• A) \(\frac { 9 } { x - 1 }\)
• B) \(\frac { 3 } { 4 ( x - 1 ) }\)
• C) \(\frac { 3 } { x - 1 }\)
• D) \(\frac { 9 } { ( x - 1 ) ^ { 2 } }\)

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Definitions:

Total Variable Costs

The sum of expenses that vary directly with the level of output production.

Average Total Cost

The per unit cost of production, calculated by dividing total cost by the total quantity of output produced.

Average Variable Cost

The total variable costs divided by the quantity of output produced, reflecting the per unit cost of variable inputs.

Average Fixed Costs

The fixed costs of production (costs that do not change with the level of output) divided by the quantity of output produced, a measure that decreases as production increases.