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WAEC Mathematics 2016 Question 40

Question 40

Algebraic Expressions

Simplify: ((p − r)2 − r2)/(2p2 − 4pr)

  1. A.½
  2. B.p − 2r
  3. C.1/(p − 2r)
  4. D.2p/(p − 2r)
Show the answer and explanation

Answer: A (½)

Explanation

Numerator = (p − r − r)(p − r + r) = p(p − 2r); denominator = 2p(p − 2r). The fraction is ½.