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Mathematics

Factorise :

a2 - 81(b - c)2

Factorisation

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Answer

Given,

   a2 - 81(b - c)2

= (a)2 - [9(b - c)]2

= [a + 9(b - c)][a - 9(b - c)]

= (a + 9b - 9c)(a - 9b + 9c).

Hence, a2 - 81(b - c)2 = (a + 9b - 9c)(a - 9b + 9c).

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