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The factors of (a2 + 4b2 + 4b – 4ab – 2a – 8) are
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- (a – 2b –4) (a – 2b + 2)
- (a – b + 2) (a – 4b – 4)
- (a + 2b – 4) (a + 2b + 2)
- (a + 2b – 1) (a – 2b + 1)
- (a – 2b –4) (a – 2b + 2)
Correct Option: A
a2 + 4b2 + 4b – 4ab – 2a – 8 = a2 + 4b2 – 4ab – 2a + 4b – 8
= (a – 2b)2 - 2(a – 2b) – 8
Let (a – 2b) = x
∴ Expression = x2 – 2x – 8
Expression = x2 – 4x + 2x – 8
Expression = x (x – 4) + 2(x – 4)
Expression = (x – 4)(x + 2)
Expression = (a – 2b – 4)(a – 2b + 2)
