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JAMB Mathematics 1994 Question 10

Question 10

Algebraic Expressions

Simplify ((2m − u)2 − (m − 2u)2)/(5m2 − 5u2)

  1. A.3/5
  2. B.2/5
  3. C.(2m − u)/(5m + u)
  4. D.(m − 2u)/(m + 5u)
Show the answer and explanation

Answer: A (3/5)

Explanation

The top is a difference of two squares: (3m − 3u)(m + u) = 3(m − u)(m + u). The bottom is 5(m − u)(m + u). Cancelling leaves 3/5.