一道初二数学分式计算题1/(X-1)-1/(X+1)-2/(X^2+1)-4/(X^4+1)-8/(X^8+1)要过程,谢谢了!

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一道初二数学分式计算题1/(X-1)-1/(X+1)-2/(X^2+1)-4/(X^4+1)-8/(X^8+1)要过程,谢谢了!
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一道初二数学分式计算题1/(X-1)-1/(X+1)-2/(X^2+1)-4/(X^4+1)-8/(X^8+1)要过程,谢谢了!
一道初二数学分式计算题
1/(X-1)-1/(X+1)-2/(X^2+1)-4/(X^4+1)-8/(X^8+1)
要过程,谢谢了!

一道初二数学分式计算题1/(X-1)-1/(X+1)-2/(X^2+1)-4/(X^4+1)-8/(X^8+1)要过程,谢谢了!
1/(X-1)-1/(X+1)-2/(X^2+1)-4/(X^4+1)-8/(X^8+1)
=[(X+1)-(X-1)]/[(X-1)(X+1)]-2/(X^2+1)-4/(X^4+1)-8/(X^8+1)
=2/(X^2-1)-2/(X^2+1)-4/(X^4+1)-8/(X^8+1)
=2[(X^2+1)-(X^2-1)]/[(X^2-1)(X^2+1)]-4/(X^4+1)-8/(X^8+1)
=4/(X^4-1)-4/(X^4+1)-8/(X^8+1)
=8/(X^8-1)-8/(X^8+1)
=16/(X^16-1)