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WAEC Mathematics 2011 Question 8

Question 8

Algebraic Expressions

One of the factors of (mn − nq − n2 + mq) is (m − n). The other factor is:

  1. A.(n − q)
  2. B.(q − n)
  3. C.(n + q)
  4. D.(q − m)
Show the answer and explanation

Answer: C ((n + q))

Explanation

Rearrange: mn + mq − n2 − nq = m(n + q) − n(n + q) = (m − n)(n + q).