Question

Calculate the value of the expression (without a calculator):

`(2^3-1)/(2^3+1)*(3^3-1)/(3^3+1)*(4^3-1)/(4^3+1)*...*(100^3-1)/(100^3+1)`

Difficulty level (1 very easy - 10 very hard): 4

Algebra -> Algebraic Techniques -> Short Multiplication Formulas / Algebraic Identities Algebra -> Sequences Algebra -> Algebraic Techniques -> Telescoping Sums

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