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Need help on a math exam question (1 Viewer)

Dashdorm24

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I would be grateful for any ideas on this question :) , I know the use of the difference between cubes is used but how do you proceed from there?
 

CM_Tutor

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First, note the factorisation of the sum of two cubes: . You can easily check this by expanding:



Now, taking and , we get that

So,



This could also be written as
 

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