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JAMB Mathematics 1989 Question 27

Question 27

Algebraic Expressions

Simplify
(x(x + 1)−½ − (x + 1)½)/(x + 1)½

  1. A.1/(x + 1)
  2. B.−1/(x + 1)
  3. C.1/x
  4. D.−1/√(x + 1)
Show the answer and explanation

Answer: B (−1/(x + 1))

Explanation

Divide each term by (x + 1)½: x/(x + 1) − 1 = (x − x − 1)/(x + 1) = −1/(x + 1).