Simplify the Expression $\frac { 2 y } { y ^ { 2 } - 1 } + \frac { 1 } { ( y - 1 ) }$

question 14

Multiple Choice

Simplify the expression. $\frac { 2 y } { y ^ { 2 } - 1 } + \frac { 1 } { ( y - 1 ) }$

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

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Definitions:

Mandibles

The lower jaws or jawbones of vertebrates, or the pair of mouthparts in arthropods used for biting and grinding food.

Gills

Respiratory organs found in many aquatic organisms, allowing for the exchange of oxygen and carbon dioxide with water.

Statocysts

Statocysts are sensory organs found in some animals, used for detecting gravity and orientation.

Biological Success

The ability of an organism to survive, reproduce, and pass its genes to the next generation.