WAEC Mathematics 2010 Question 23

Question 23

Algebraic Expressions

Simplify: 2/(2 + x) + 2/(2 − x)

  1. A.4/(4 − x2)
  2. B.8/(4 − x2)
  3. C.4x/(4 − x2)
  4. D.(8 − 4x)/(4 − x2)
Show the answer and explanation

Answer: B (8/(4 − x2))

Explanation

[2(2 − x) + 2(2 + x)]/[(2 + x)(2 − x)] = 8/(4 − x2).