Simplify the Rational Expression $\frac { 36 - k ^ { 2 } } { k ^ { 2 } - 15 k + 54 }$

question 103

Multiple Choice

Simplify the rational expression.
- $\frac { 36 - k ^ { 2 } } { k ^ { 2 } - 15 k + 54 }$

• A) \(- \frac { \mathrm { k } + 6 } { \mathrm { k } + 9 }\)
• B) \(- \frac { k + 6 } { k - 9 }\)
• C) \(\frac { k + 6 } { k - 9 }\)
• D) \(- \frac { k - 6 } { k - 9 }\)

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Definitions:

Commercial Impracticability

A legal doctrine allowing parties to suspend or terminate their contractual obligations when unexpected events fundamentally alter the nature of the contract and performance becomes unfeasibly burdensome.

Substantial Performance

A concept in contract law where a party has completed enough of the contract to warrant payment, though some minor elements may still need to be finished.

Construction Industry

A sector of the economy focused on the planning, designing, and building of infrastructure and buildings.

Frustration Of Purpose Doctrine

The Frustration of Purpose Doctrine is a legal principle allowing contract parties to be relieved from performing their obligations when an unforeseen event undermines the contract’s original purpose.