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JAMB Mathematics 2004 Question 13

Question 13

Algebraic Expressions

Factorize completely ac − 2bc − a2 + 4b2.

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

Answer: B ((a − 2b)(c − a − 2b))

Explanation

ac − 2bc = c(a − 2b) and 4b2 − a2 = −(a − 2b)(a + 2b). Taking out (a − 2b) leaves c − a − 2b.