$(7 a^{2} - 63 b^{2}) = ? (a) (7 a - 9 b) (9 a + 7 b) (b) (7 a - 9 b) (7 a + 9 b) (c) 9 (a - 3 b) (a + 3 b) (d) 7 (a - 3 b) (a + 3 b)$

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Solution

$7 a^{2} - 63 b^{2} = 7 (a^{2} - 9 b^{2}) = 7 {(a)^{2} - (3 b)^{2}} = 7 (a - 3 b) (a + 3 b)$

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