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Question
Factorise the following:
64m3 – 343n3
Solution
We know that, x3 − y3 = (x − y)(x2 + xy + y2)
It is given that, 64m3 − 343n3 = (4m)3 − (7n)3
= (4m − 7n)[(4m)2 + (4m)(7n) + (7n)2]
= (4m − 7n)(16m2 + 28mn + 49n2)
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