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Question
Factorise:
a4 - 343a
Sum
Solution
a4 - 343a
= a(a3 - 73)
= a(a - 7)[(a)2 + a × 7 + (7)2] ...[∵ a3 - b3 = (a - b)(a2 + ab + b2)]
= a(a - 7)(a2 + 7a + 49)
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Method of Factorisation : the Sum Or Difference of Two Cubes
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