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 编辑：拍题作业网作业帮 分类：数学作业 时间：2024/04/30 08:55:30
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
=(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
【1】a+a=a×a a= [ ]【2】a×a=a÷a a=[ ]【3】a×a=a－a a=[ ] [4]a－a=a＋a
a(a-1)(a-2)(a-3)(a-4)因式分解
(a 1)(a 2)(a 3)(a
a^4+a^3-a-1(因式分解)
化简3a×a×a+12a×a-6a-12 a=根号7-1
(a-1)(a-2)(a-3)(a-4)-3因式分解,
9-a²/a²+6a+9÷a²-3a/a+1/a
(a+1)(a+2)(a+3)(a+4)的答案
因式分解 (a+1)(a+2)(a+3)(a+4)+24
因式分解:(a+1)(a+2)(a+3)(a+4)-120
因式分解：(1) a*4-a*3+a*2-a
（高一集合）已知A={2,4,a*a*a-2a*a-a+7},B={1,a+3,a*a-2a+2,a*a*a+a*a+3