没有平方差公式
原式=(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)+1/2^15
=(1+1/2)(1+1/4)(1+1/16)(1+1/64)+1/2^15
=3/2*5/4*17/16*65/64+1/2^15
=[3*5*17*65+1]/2^15
=259/128
原式=(1-1/2)/(1-1/2)*(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)+1/2^15
=（1-1/2^2)(1+1/2^2)(1+1/2^4)(1+1/2^8)*2+1/2^15
=(1-1/2^4)(1+1/2^4)(1+1/2^8)*2+1/2^15
=(1-1/2^8)(1+1/2^8)*2+1/2^15
=(1-1/2^16)*2+1/2^15
=2-1/2^15+1/2^15
=2
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