Simplify the Expression $\frac { \frac { x } { x - 1 } + \frac { 1 } { x + 1 } } { \frac { 5 } { x - 1 } - \frac { 2 } { x + 1 } }$

question 9

Multiple Choice

Simplify the expression. $\frac { \frac { x } { x - 1 } + \frac { 1 } { x + 1 } } { \frac { 5 } { x - 1 } - \frac { 2 } { x + 1 } }$

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

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Definitions:

Map Interface

An interface in Java that represents a collection of key-value pairs, where each key is unique.

AbstractMap< K,V >

A superclass in Java's collection framework that provides a skeletal implementation of the Map interface.

Unique Elements

Items in a dataset or collection that appear only once, having no duplicates.

Collection Class

A framework in Java that provides an architecture to store and manipulate a group of objects.