Factorise:

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

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Solution

$4 a^{2} - 49 b^{2} + 2 a - 7 b 4 a^{2} - 49 b^{2} is in the form of a^{2} - b^{2} = (a + b) (a - b) 4 a^{2} - 49 b^{2} + 2 a - 7 b = (2 a)^{2} - (7 b)^{2} + 2 a - 7 b = (2 a + 7 b) (2 a - 7 b) + (2 a - 7 b) = (2 a - 7 b) (2 a + 7 b + 1)$

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