2x(3+1)x(3^2+1)x(3^4+1)x...x(3^32+1)+1求详细的解题过程,
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2x(3+1)x(3^2+1)x(3^4+1)x...x(3^32+1)+1求详细的解题过程,
2x(3+1)x(3^2+1)x(3^4+1)x...x(3^32+1)+1
=(3-1)x(3+1)x(3^2+1)x(3^4+1)x...x(3^32+1)+1
=(3^2-1)x(3^2+1)x(3^4+1)x...x(3^32+1)+1
=(3^4-1)x(3^4+1)x...x(3^32+1)+1
=(3^8-1)x...x(3^32+1)+1
.
=(3^32-1)x(3^32+1)+1
=3^64-1+1
=3^64
=(3-1)x(3+1)x(3^2+1)x(3^4+1)x...x(3^32+1)+1
=(3^2-1)x(3^2+1)x(3^4+1)x...x(3^32+1)+1
=(3^4-1)x(3^4+1)x...x(3^32+1)+1
=(3^8-1)x...x(3^32+1)+1
.
=(3^32-1)x(3^32+1)+1
=3^64-1+1
=3^64
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