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Mathematics

Factorize:

a2(b + c) - (b + c)3

Factorisation

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Answer

Given,

⇒ a2(b + c) - (b + c)3

⇒ (b + c)[a2 - (b + c)2]

⇒ (b + c)(a + b + c)(a - b - c).

Hence, a2(b + c) - (b + c)3 = (b + c)(a + b + c)(a - b - c).

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