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Mathematics

Factorise the following:

9x2 - 1

Factorisation

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Answer

9x2 - 1 = (3x)2 - (1)2.

Using identity,

a2 - b2 = (a + b)(a - b).

(3x)2 - (1)2 = (3x + 1)(3x - 1).

Hence, 9x2 - 1 = (3x + 1)(3x - 1).

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