Factorize :
$a - b - 4 a^{2} + 4 b^{2}$

(a - b) (1 - 4 a - 4 b)

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(a + b) (1 - a - 4 b)

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(a + b) (1 - 4 a - 4 b)

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(a - b) (1 - a - 4 b)

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Solution

The correct option is A $(a - b) (1 - 4 a - 4 b)$
$a - b - 4 a^{2} + 4 b^{2}$
$= (a - b) - 4 (a^{2} - b^{2})$
$= (a - b) - 4 (a + b) (a - b)$
$= (a - b) (1 - 4 (a + b))$
$= (a - b) (1 - 4 a - 4 b)$

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