作业帮化简(a^3+1/a^3)(a^3-1/a^3)÷[(a^4+1/a^4+1)(a-1/a)]
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/09 03:20:48
![化简(a^3+1/a^3)(a^3-1/a^3)÷[(a^4+1/a^4+1)(a-1/a)]](/uploads/image/z/379137-57-7.jpg?t=%E5%8C%96%E7%AE%80%28a%5E3%2B1%2Fa%5E3%29%28a%5E3-1%2Fa%5E3%29%C3%B7%5B%28a%5E4%2B1%2Fa%5E4%2B1%29%28a-1%2Fa%29%5D)
化简(a^3+1/a^3)(a^3-1/a^3)÷[(a^4+1/a^4+1)(a-1/a)]
化简(a^3+1/a^3)(a^3-1/a^3)÷[(a^4+1/a^4+1)(a-1/a)]
化简(a^3+1/a^3)(a^3-1/a^3)÷[(a^4+1/a^4+1)(a-1/a)]
(a^3+1/a^3)(a^3-1/a^3)/[(a^4+1/a^4+1)(a-1/a)]
=(a^6-1/a^6)/[(a^4+1/a^4+1)(a-1/a)]
=[(a^2)^3-1/(a^2)^3]/[(a^4+1/a^4+1)(a-1/a)]
=[(a^2-1/a^2)*(a^4+1/a^4+1)]/[(a^4+1/a^4+1)(a-1/a)]
=(a^2-1/a^2)/(a-1/a)
=a+1/a
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【1】a+a=a×a a= [ ]【2】a×a=a÷a a=[ ]【3】a×a=a－a a=[ ] [4]a－a=a＋a a=[ ]
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