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Mathematics

Factorise :

a2 - 23a - 108

Factorisation

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Answer

a2 - 23a - 108

= a2 - 23a - 108

= a2 - (27 - 4)a - 108

= a2 - 27a + 4a - 108

= (a2 - 27a) + (4a - 108)

= a(a - 27) + 4(a - 27)

= (a - 27)(a + 4)

Hence,a2 - 23a - 108 = (a - 27)(a + 4)

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