a的32次幂减一等于几

问题描述:

a的32次幂减一等于几

a^32-1

a^32-1=(a-1)*(1+a+a^2+a^3+....+a^31)

a^32-1
=(a^16+1)(a^16-1)
=(a^16+1)(a^8+1)(a^8-1)
=(a^16+1)(a^8+1)(a^4+1)(a^2+1)(a+1)(a-1)

(a-1)的32次幂

a^32-1
=(a^16+1)(a^16-1)
=(a^16+1)(a^8+1)(a^8-1)
=(a^16+1)(a^8+1)(a^4+1)(a^4-1)
=(a^16+1)(a^8+1)(a^4+1)(a^2+1)(a^2-1)
=(a^16+1)(a^8+1)(a^4+1)(a^2+1)(a+1)(a-1)

原是等于a^32-1
等于a^32-1^32
等于(a^16-1)(a^16-1)