计算1/(m-n)-1/(m+n)-2n/(m^2+n^2)-4n^3/(m^4+n^4)-8n^7/(m^8+n^8)-16n^15/(m^16+n^16)+32n^31(n^32-m^32)
问题描述：
计算1/(m-n)-1/(m+n)-2n/(m^2+n^2)-4n^3/(m^4+n^4)-8n^7/(m^8+n^8)-16n^15/(m^16+n^16)+32n^31(n^32-m^32)
答
逐步通分1/(m-n)-1/(m+n)-2n/(m^2+n^2)-4n^3/(m^4+n^4)-8n^7/(m^8+n^8)-16n^15/(m^16+n^16)+32n^31(n^32-m^32)=[(m+n)-(m-n)]/(m^2-n^2)-2n/(m^2+n^2)-4n^3/(m^4+n^4)-8n^7/(m^8+n^8)-16n^15/(m^16+n^16)+32n^31(n^3...