Mathematics

Factorise :

a4 - 343a

Factorisation

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Answer

Given,

    a4 - 343a

= a[a3 - 343]

= a[(a)3 - (7)3]

= a(a - 7)[(a)2 + a × 7 + (7)2]

= a(a - 7)(a2 + 7a + 49).

Hence, a4 - 343a = a(a - 7)(a2 + 7a + 49).

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