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JAMB Mathematics 1984 Question 24

Question 24

Algebraic Expressions

Find a factor which is common to all three binomial expressions 4a2 − 9b2, 8a3 + 27b3, (4a + 6b)2

  1. A.4a + 6b
  2. B.4a − 6b
  3. C.2a + 3b
  4. D.2a − 3b
  5. E.None.
Show the answer and explanation

Answer: C (2a + 3b)

Explanation

4a² − 9b² = (2a − 3b)(2a + 3b), 8a³ + 27b³ = (2a + 3b)(4a² − 6ab + 9b²) and (4a + 6b)² = 4(2a + 3b)². All contain 2a + 3b.