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WAEC Mathematics 1999 Question 25

Question 25

Algebraic Expressions

Simplify 4/(x + 1) − 3/(x − 1)

  1. A.(x + 7)/(x2 − 1)
  2. B.(x − 7)/(x2 + 1)
  3. C.(x − 7)/(x2 − 1)
  4. D.(x − 11)/(x2 − 1)
Show the answer and explanation

Answer: C ((x − 7)/(x2 − 1))

Explanation

Common denominator (x + 1)(x − 1) = x2 − 1. Numerator: 4(x − 1) − 3(x + 1) = x − 7.