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OAU Post-UTME Mathematics 2011 Question 8

Question 8

Algebraic Expressions

Factorize: a2 − b2 + (a + b)2

  1. A.2a2
  2. B.2a(a − b)
  3. C.2a(a + b)
  4. D.2b(b − a)
Show the answer and explanation

Answer: C (2a(a + b))

Explanation

a² − b² = (a − b)(a + b). Take out (a + b): (a + b)[(a − b) + (a + b)] = 2a(a + b).