N
nangsommai95
A= x+1.[TEX](x^2 +1)(x^4+1)+..........+(x^{64}+1)[/TEX]
A. (x-1) = (x-1)(x+1).[TEX](x^2 +1)(x^4+1)+..........+(x^{64}+1)[/TEX]
= [TEX](x^2-1)(x^2 +1)(x^4+1)+..........+(x^{64}+1)[/TEX]
= [TEX](x^4-1)(x^4+1)+..........+(x^{64}+1)[/TEX]
=[TEX] (x^{64}-1).(x^{64}+1) = x^ {128}-1[/TEX]
\Rightarrow A= [TEX](x^ {128}-1) : (x-1) [/TEX]
A. (x-1) = (x-1)(x+1).[TEX](x^2 +1)(x^4+1)+..........+(x^{64}+1)[/TEX]
= [TEX](x^2-1)(x^2 +1)(x^4+1)+..........+(x^{64}+1)[/TEX]
= [TEX](x^4-1)(x^4+1)+..........+(x^{64}+1)[/TEX]
=[TEX] (x^{64}-1).(x^{64}+1) = x^ {128}-1[/TEX]
\Rightarrow A= [TEX](x^ {128}-1) : (x-1) [/TEX]
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