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Mathematics

Factorise :

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)]

= (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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