Factorise Completely : $a^{2} - 16 b^{2} - 2 a - 8 b$

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Solution

$(a^{2} - 16 b^{2}) - 2 a - 8 b = [(a)^{4} - (4 b)^{2}] - 2 (a + 4 b) = (a + 4 b) (a - 4 b) - 2 (a + 4 b) = (a + 4 b) (a - 4 b - 2)$

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