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JAMB Mathematics 1985 Question 50

Question 50

Algebraic Expressions

If a{(x + 1)/(x − 2) − (x − 1)/(x + 2)} = 6x, find a in its simplest form.

  1. A.x2 − 1
  2. B.x2 + 1
  3. C.x2 + 4
  4. D.1
  5. E.x2 − 4.
Show the answer and explanation

Answer: E (x2 − 4.)

Explanation

The bracket is ((x + 1)(x + 2) − (x − 1)(x − 2))/(x² − 4) = 6x/(x² − 4). So a × 6x/(x² − 4) = 6x and a = x² − 4.