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

question 58

Multiple Choice

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

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

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Definitions:

Suez Canal

A man-made waterway in Egypt, opened in 1869, connecting the Mediterranean Sea to the Red Sea, significantly reducing travel time for maritime trade between Europe and Asia.

European Powers

Refers to the leading nations in Europe, particularly during the colonial and imperial periods, known for their significant influence and control over global affairs.

Henry Stanley

A Welsh-American explorer best known for his expeditions in Africa, including his quest to find David Livingstone and his development of the Congo region.

African Colonies

Territories in Africa that were under the control of European powers from the late 19th century to the mid-20th century.