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