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Question
Show that : 353 + 273 is divisible by 62
Sum
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Solution
(353 + 273)
[Using identity (a3 + b3)=(a + b)(a2 - ab + b2)]
= ( 35 + 27 )( 352 + 35× 27 + 272 )
= 62 × ( 352 + 35 × 27 + 272 )
Therefore, the number is divisible by 62.
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Method of Factorisation : the Sum Or Difference of Two Cubes
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