用x-1分之x-1化简(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)
题目
用x-1分之x-1化简(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)
答案
=(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)/(x-1)=(x^2-1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)/(x-1)=(x^4-1)(x^4+1)(x^8+1)(x^16+1)/(x-1)=...=(x^32-1)/(x-1)
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