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JAMB Mathematics 1991 Question 18

Question 18

Algebraic Expressions

Factorize 1 − (a − b)2

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

Answer: B ((1 − a + b)(1 + a − b))

Explanation

Difference of two squares: [1 − (a − b)][1 + (a − b)] = (1 − a + b)(1 + a − b).