计算:(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)(x^32+1)

问题描述:

计算:(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)(x^32+1)

(1)当x不等于1 (x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)(x^32+1) =[(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)(x^32+1)]/(x-1) =[(x^2-1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)(x^32+1)]/(x-1) =[(x^4-1)(x^4+1)(x^8+1)(x^16+1)(...