式子(2^3-1)(3^3-1)(4^3-1)...(100^3-1)/(2^+1)(3^3+1)(4^3+1)...(100^3_数学解答

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

人气：480 ℃　时间：2020-07-05 03:42:36

解答

(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...