Simplify the Expression $\frac { - 1 } { x - 1 } - \frac { 4 } { ( x - 2 ) ^ { 2 } }$

question 227

Multiple Choice

Simplify the expression. $\frac { - 1 } { x - 1 } - \frac { 4 } { ( x - 2 ) ^ { 2 } }$

• A) \(\frac { x ^ { 2 } - 18 } { ( 2 x - 3 ) ^ { 2 } }\)
• B) \(\frac { - x ^ { 2 } - 7 } { ( x - 2 ) ^ { 2 } }\)
• C) \(\frac { - x ^ { 2 } } { ( x - 1 ) ( x - 2 ) ^ { 2 } }\)
• D) \(\frac { 10 x - 2 } { ( 2 x + 1 ) ^ { 2 } }\)
• E) \(\frac { 2 x ^ { 2 } + 9 } { ( 2 x - 1 ) ^ { 2 } }\)

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Definitions:

Critical Thinking

A skill of objectively assessing evidence and arguments, to identify biases and assumptions, and make reasoned judgments.

Qualitative Improvements

Enhancements or upgrades in the quality or nature of something rather than in its quantity or numerical aspects.

Critical Thinking Skills

The cognitive abilities used to analyze facts, generate and evaluate arguments, and synthesize information in order to arrive at well-founded conclusions.

Analyze Information

The process of examining data or information in detail in order to understand it better and draw conclusions.