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Mathematics

Factorize :

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

Factorisation

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Answer

Given,

⇒ a(a - 2b - c) + 2bc

⇒ a2 - 2ab - ac + 2bc

⇒ a2 - ac - 2ab + 2bc

⇒ a(a - c) - 2b(a - c)

⇒ (a - c)(a - 2b)

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

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