式子(2^3-1)(3^3-1)(4^3-1)...(100^3-1)/(2^+1)(3^3+1)(4^3+1)...(100^3+1)的值
问题描述:
式子(2^3-1)(3^3-1)(4^3-1)...(100^3-1)/(2^+1)(3^3+1)(4^3+1)...(100^3+1)的值
答
(2^3-1)(3^3-1)(4^3-1)...(100^3-1)/(2^+1)(3^3+1)(4^3+1)...(100^3+1)=(2-1)(2^2+2+1)(3-1)(3^2+3+1)(4-1)(4^2+4+1)……(100-1)(100^2+100+1)/(2+1)(2^2-2+1)(3+1)(3^2-3+1)(4+1)(4^2-4+1)……(100+1)(100^2-100+1...