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Question
Show that : 133 - 53 is divisible by 8
Sum
Solution
( 133 - 53 )
[ Using identity (a3 - b3) = (a - b)(a2 + ab + b2)]
= ( 13 - 5 )( 132 + 13 × 5 + 52 )
= 8( 169 + 65 + 25 )
Therefore, the number is divisible by 8.
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Method of Factorisation : the Sum Or Difference of Two Cubes
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