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Simplify \( \frac{1}{(x + 1)} + \frac{1}{(x − 1)} \)

Mathematics
JAMB 2015

Simplify \( \frac{1}{(x + 1)} + \frac{1}{(x − 1)} \)

  • A. 2x/(x + 1)(x−3)
  • B. 2x/(x + 1)(x−1)
  • C. 2x/(x + 1)2
  • D. 2x(x+1)2
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Correct Answer: Option B
Explanation

[1 ÷ (x+1)] + [1 ÷ (x − 1)]

= ((x − 1) + [(x + 1)) ÷ (x+1)(x − 1)]

Using the L.C.M.

= (x − 1 + x + 1) ÷ (x + 1)(x − 1)

= (x + 2 − 1 + 1) ÷ (x + 1)(x − 1)

= 2x ÷ (x + 1)(x − 1) =2x ÷ (x + 1)(x − 1)

There is an explanation video available below.


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Post UTME Past Questions Agent
Post UTME Past Questions Agent
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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