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JAMB Mathematics 1986 Question 24

Question 24

Algebraic Expressions

Factorize (4a + 3)2 − (3a − 2)2

  1. A.(a + 1)(a + 5)
  2. B.(a − 5)(7a − 1)
  3. C.(a + 5)(7a + 1)
  4. D.a(7a + 1).
Show the answer and explanation

Answer: C ((a + 5)(7a + 1))

Explanation

Difference of two squares: (4a + 3 + 3a − 2)(4a + 3 − 3a + 2) = (7a + 1)(a + 5).