Perform the Indicated Operation $\frac { 2 x ^ { 2 } - 8 } { 10 x ^ { 2 } - 15 x - 10 } \div \frac { x ^ { 2 } + 4 x + 4 } { 4 x + 2 }$

question 285

Multiple Choice

Perform the indicated operation. Simplify, if possible. $\frac { 2 x ^ { 2 } - 8 } { 10 x ^ { 2 } - 15 x - 10 } \div \frac { x ^ { 2 } + 4 x + 4 } { 4 x + 2 }$

• A) \(\frac { ( x + 2 ) ^ { 3 } } { 5 ( 2 x + 1 ) ^ { 2 } }\)
• B) \(\frac { 2 ( 2 x - 4 ) ( 2 x + 1 ) } { ( 10 x + 5 ) ( x + 2 ) ^ { 2 } }\)
• C) \(\frac { 4 ( x - 2 ) ( 2 x + 1 ) } { 5 ( 2 x - 1 ) ( x + 2 ) ^ { 2 } }\)
• D) \(\frac { 4 } { 5 ( x + 2 ) }\)

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Definitions:

Target-Absent Lineup

A lineup in which the person who committed the crime is not present in the lineup.

Correct Identification

Refers to accurately recognizing or pinpointing a specific item, fact, or entity from among alternatives, often used in the context of tests or observations.

System Variable

An element or feature within a system that can change and affect the system's operation or outcome.

Lineup Procedure

A process in law enforcement where witnesses to a crime are asked to identify a suspect from a group of people.