用x-1分之x-1化简(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)

问题描述:

用x-1分之x-1化简(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)

=(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)