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Question
Factorise:
343a3 − 512b3
Solution
It is known that,
a3 − b3 = (a − b)(a2 + ab + b2)
343a3 − 512b3
= (7a)2 − (8b)3
= (7a − 8b) {(7a)2 + (7a) × (8b) + (8b)2}
= (7a − 8b)(49a2 + 56ab + 64b2)
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