Factorize the equation $4 a^{2} - 49 b^{2} + 2 a - 7 b$

(2 a - 7 b) (a + 7 b + 1)

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(2 a - 7 b) (2 a + 7 b + 1)

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(a - 7 b) (2 a + 7 b + 3)

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(2 a - b) (2 a + 7 b + 13)

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Solution

The correct option is C $(2 a - 7 b) (2 a + 7 b + 1)$
$4 a^{2} - 49 b^{2} + 2 a - 7 b$
$= (2 a)^{2} - (7 b)^{2} + 2 a - 7 b$
$= (2 a + 7 b) (2 a - 7 b) + (2 a - 7 b)$
$= (2 a - 7 b) (2 a + 7 b + 1)$

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