WAEC Mathematics 2011 Question 28

Question 28

Algebraic Expressions

Factorize the expression am + bn − an − bm.

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

Answer: B ((a − b)(m − n))

Explanation

Group: am − an − bm + bn = a(m − n) − b(m − n) = (a − b)(m − n).