Question

Pls explain the concept

Answer 1

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${x}^{3} + 1 = (x + 1)( {x}^{2} - x + 1)$
So 2 power 96 +1can be expressed as=>
${2}^{96} + 1 = ( {2}^{32} + 1)( {2}^{64} - {2}^{32} + 1)$
if 2 power 32 +1 is x then we can express 2 power 96 +1 as following quantity=>
${2}^{96} + 1 = x( {2}^{64} - {2}^{32} + 1)$
hence 2 power 96+1 can also be divisible by that number which can divide 2 power 32 +1 . So (1) is the correct option .