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Mathematics

Factorise the following:

a(a - 2b - c) + 2bc

Factorisation

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Answer

a(a - 2b - c) + 2bc

= a2 - 2ab - ac + 2bc

= a2 - ac - 2ab + 2bc

= a(a - c) - 2b(a - c)

= (a - 2b)(a - c).

Hence, a(a - 2b - c) + 2bc = (a - 2b)(a - c).

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