觅水禾鱼
花朵
共回答了17个问题采纳率:82.4% 举报
原式 = [原式 *(a-1/a)]/(a-1/a) 注:方差公式
=[(a^2-1/a^2)(a^2+1/a^2)(a^4+1/a^4)(a^8+1/a^8)(a^16+1/a^16)(a^32+1/a^32)(a^2-1)]/(a-1/a)
=[(a^4-1/a^4)(a^4+1/a^4)(a^8+1/a^8)(a^16+1/a^16)(a^32+1/a^32)(a^2-1)]/(a-1/a)
=[(a^8-1/a^8)(a^8+1/a^8)(a^16+1/a^16)(a^32+1/a^32)(a^2-1)]/(a-1/a)
=[(a^16-1/a^16)(a^16+1/a^16)(a^32+1/a^32)(a^2-1)]/(a-1/a)
=[(a^32-1/a^32)(a^32+1/a^32)(a^2-1)]/(a-1/a)
=[(a^64-1/a^64)(a^2-1)]/(a-1/a)
分子分母同时乘以a/[a^2-1]
原式=(a^64-1/a^64)*a
=a^65-1/a^63
1年前
8