Perform the Operations and Simplify the Result When Possible $\frac { 5 } { x + 1 } - \frac { 4 } { x - 1 } + \frac { x + 7 } { x ^ { 2 } - 1 }$

question 297

Multiple Choice

Perform the operations and simplify the result when possible. $\frac { 5 } { x + 1 } - \frac { 4 } { x - 1 } + \frac { x + 7 } { x ^ { 2 } - 1 }$

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

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Definitions:

Full-Term

Referring to a pregnancy that has reached between 39 and 40 weeks of gestation, indicating that the baby is fully developed and ready for birth.

Very Low Birth Weight

A term used to describe babies who are born weighing less than 1500 grams (3 pounds, 4 ounces).

Pounds

A unit of weight commonly used in the United States and the United Kingdom, equivalent to 0.453592 kilograms.

Small for Date

Describes infants whose birth weight is significantly lower than average for their gestational age, typically due to factors affecting growth during pregnancy.