Simplify the Rational Expression $$\frac { x ^ { 2 } - 2 x + 6 x - 12 } { 2 x ^ { 2 } + 9 x + 12 x + 54 }$$

question 21

Multiple Choice

Simplify the rational expression. If the rational expression cannot be simplified, so state.
- $$\frac { x ^ { 2 } - 2 x + 6 x - 12 } { 2 x ^ { 2 } + 9 x + 12 x + 54 }$$

• A) \(\frac { x ^ { 2 } - 8 x - 12 } { 2 x ^ { 2 } + 21 x + 54 }\)
• B) \(\frac { x - 2 } { x + 6 }\)
• C) \(\frac { x - 2 } { 2 x + 9 }\)
• D) \(\frac { x + 6 } { 2 x + 9 }\)

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Definitions:

Flexible Budget

A financial strategy that evolves in line with shifts in activity intensity or operational volume.

Budgeting Formulas

Mathematical expressions or algorithms used to calculate various components of a budget, such as expenses, revenues, or profits.

Direct Materials

Raw materials that are directly traceable to the production process and are a part of the finished product.

Flexible Budget

An adaptable financial plan that changes according to the actual output levels or activities of a business.