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WAEC Mathematics 1995 Question 15

Question 15

Algebraic Expressions

Factorize the expression x(a − c) + y(c − a)

  1. A.(a − c)(y − x)
  2. B.(a − c)(x − y)
  3. C.(a + c)(x − y)
  4. D.(a + c)(x + y)
  5. E.(a − c)(x + y).
Show the answer and explanation

Answer: B ((a − c)(x − y))

Explanation

y(c − a) = −y(a − c), so the expression is (a − c)x − (a − c)y = (a − c)(x − y).