Question
4a2 + b2 + 4ab + 8a + 4b + 4 = ?
  1. (2a + b + 2)2
  2. (2a - b + 2)2
  3. (a + 2b + 2)2
  4. None of these

Answer

  1. (2a + b + 2)2

Solution:

4a2 + b2 + 4ab + 8a + 4b + 4

= 4a2 + b2 + 4 + 4ab + 4b + 8a

= (2a)2 + b2 + 22 + 2 × 2a × b + 2 × b × 2 + 2 × 2a × 2

= (2a + b +2)2

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