Perform the Indicated Operation $$\frac { 2 a b } { a ^ { 2 } - b ^ { 2 } } - \frac { b } { a - b } + 2$$

question 57

Multiple Choice

Perform the indicated operation. Simplify, if possible.
- $$\frac { 2 a b } { a ^ { 2 } - b ^ { 2 } } - \frac { b } { a - b } + 2$$

• A) \(\frac { 2 a + 3 b } { a ^ { 2 } - b ^ { 2 } }\)
• B) \(\frac { 2 a b - b + 2 } { a + b + 1 }\)
• C) \(\frac { 2 a + 3 b } { a + b }\)
• D) \(\frac { ( a - b ) ( 2 a + 3 b ) } { a ^ { 2 } - b ^ { 2 } }\)

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Definitions:

William Penn

An English Quaker leader and founder of the Province of Pennsylvania, the English North American colony and the future Commonwealth of Pennsylvania, known for implementing democratic principles and religious freedom.

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A decree issued by King George III, restricting colonial expansion beyond the Appalachian Mountains to appease Native American tribes through the establishment of a Western boundary.

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A specific part of the Earth's surface identified by its physical location, boundaries, and characteristics.

Ohio Valley

A geographical region in the United States defined by the Ohio River, playing a significant role in early American history and the westward expansion.