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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