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JAMB Mathematics 1999 Question 16

Question 16

Algebraic Expressions

Factorize completely x2 + 2xy + y2 + 3x + 3y − 18

  1. A.(x + y + 6)(x + y − 3)
  2. B.(x − y − 6)(x − y + 3)
  3. C.(x − y + 6)(x − y − 3)
  4. D.(x − y − 6)(x + y + 3)
Show the answer and explanation

Answer: A ((x + y + 6)(x + y − 3))

Explanation

Let u = x + y: the expression is u² + 3u − 18 = (u + 6)(u − 3) = (x + y + 6)(x + y − 3).