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JAMB Mathematics 1994 Question 11

Question 11

Algebraic Expressions

Factorize a2x − b2y − b2x + a2y

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

Answer: D ((x + y)(a − b)(a + b))

Explanation

Group as a²(x + y) − b²(x + y) = (x + y)(a² − b²) = (x + y)(a − b)(a + b).