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WAEC Mathematics 2003 Question 7

Question 7

Algebraic Expressions

Simplify 4/(a − 3) − 1/(a + 2)

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

Answer: D ((3a + 11)/((a − 3)(a + 2)))

Explanation

4(a + 2) − (a − 3) = 3a + 11 over the common denominator (a − 3)(a + 2).