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JAMB Mathematics 1988 Question 23

Question 23

Algebraic Expressions

Simplify
1/(x2 + 5x + 6) + 1/(x2 + 3x + 2)

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

Answer: C (2/((x + 1)(x + 3)))

Explanation

The denominators are (x + 2)(x + 3) and (x + 1)(x + 2). The sum is (x + 1 + x + 3)/((x + 1)(x + 2)(x + 3)) = 2(x + 2)/(…) = 2/((x + 1)(x + 3)).