Factorise:

$a^{2} - 81 (b - c)^{2}$

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Solution

$a^{2} - 81 (b - c)^{2} = a^{2} - [9 (b - c)]^{2} = [a + 9 (b - c)] [a - 9 (b - c)] = (a + 9 b - 9 c) (a - 9 b + 9 c)$

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a^{2} - 81 (b - c)^{2}

a^{2} - 81 (b - c)^{2}

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