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JAMB Mathematics 1988 Question 24

Question 24

Algebraic Expressions

Simplify (4a2 − 49b2)/(2a2 + 5ab − 7b2)

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

Answer: D ((2a − 7b)/(a − b))

Explanation

The top is (2a − 7b)(2a + 7b) and the bottom is (2a + 7b)(a − b). Cancelling (2a + 7b) leaves (2a − 7b)/(a − b).