观察下列算式: (x-1)(x+1)=x²-1;(x-1)(x²+x+1)=x³-1;
2个回答
因为:(x-1)[x^(n-1)+x^(n-2)+.+x+1]=x^n-1
所以:当x=2时,(2-1)*(1+2+……+2^14)=2^15-1=32767
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