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WAEC Mathematics 2015 Question 8

Question 8

Algebraic Expressions

Factorize completely: 6ax − 12by − 9ay + 8bx.

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

Answer: B ((3a + 4b)(2x − 3y))

Explanation

Group as 6ax − 9ay + 8bx − 12by = 3a(2x − 3y) + 4b(2x − 3y) = (3a + 4b)(2x − 3y).