(x-1/2)(2x+1)(2x^2+1/2)(4x^4+1/4)(16x^8+1/16)/(256x^16+1/256)=?
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(x-1/2)(2x+1)(2x^2+1/2)(4x^4+1/4)(16x^8+1/16)/(256x^16+1/256)=
1/2(2x-1)(2x+1)(2x^2+1/2)(4x^4+1/4)(16x^8+1/16)/(256x^16+1/256)=1/2(4x^2-1)(2x^2+1/2)(4x^4+1/4)(16x^8+1/16)/(256x^16+1/256)
...
=2^(-16)*[2^(32)x^(32)-1]
1/2(2x-1)(2x+1)(2x^2+1/2)(4x^4+1/4)(16x^8+1/16)/(256x^16+1/256)=1/2(4x^2-1)(2x^2+1/2)(4x^4+1/4)(16x^8+1/16)/(256x^16+1/256)
...
=2^(-16)*[2^(32)x^(32)-1]
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