化简:(a-1)(a+1)(a2+1) (1/3+a)(1/3-a)(1/9+a2) (4+y2)(2+y)(2-y) (1/9y2+x2)(1/3y-x)(1/3y+x):(a-1)(a+1)(a2+1) (1/3+a)(1/3-a)(1/9+a2) (4+y2)(2+y)(2-y) (1/9y2+x2)(1/3y-x)(1/3y+x)是这个,题目的那个太挤了
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![化简:(a-1)(a+1)(a2+1) (1/3+a)(1/3-a)(1/9+a2) (4+y2)(2+y)(2-y) (1/9y2+x2)(1/3y-x)(1/3y+x):(a-1)(a+1)(a2+1) (1/3+a)(1/3-a)(1/9+a2) (4+y2)(2+y)(2-y) (1/9y2+x2)(1/3y-x)(1/3y+x)是这个,题目的那个太挤了](/uploads/image/z/10187273-65-3.jpg?t=%E5%8C%96%E7%AE%80%EF%BC%9A%EF%BC%88a-1%29%28a%2B1%29%28a2%2B1%29+%281%2F3%2Ba%29%281%2F3-a%29%281%2F9%2Ba2%29+%284%2By2%29%282%2By%29%282-y%29+%281%2F9y2%2Bx2%29%281%2F3y-x%29%281%2F3y%2Bx%29%EF%BC%9A%EF%BC%88a-1%29%28a%2B1%29%28a2%2B1%29+%281%2F3%2Ba%29%281%2F3-a%29%281%2F9%2Ba2%29+%284%2By2%29%282%2By%29%282-y%29+%281%2F9y2%2Bx2%29%281%2F3y-x%29%281%2F3y%2Bx%29%E6%98%AF%E8%BF%99%E4%B8%AA%EF%BC%8C%E9%A2%98%E7%9B%AE%E7%9A%84%E9%82%A3%E4%B8%AA%E5%A4%AA%E6%8C%A4%E4%BA%86)
化简:(a-1)(a+1)(a2+1) (1/3+a)(1/3-a)(1/9+a2) (4+y2)(2+y)(2-y) (1/9y2+x2)(1/3y-x)(1/3y+x):(a-1)(a+1)(a2+1) (1/3+a)(1/3-a)(1/9+a2) (4+y2)(2+y)(2-y) (1/9y2+x2)(1/3y-x)(1/3y+x)是这个,题目的那个太挤了
化简:(a-1)(a+1)(a2+1) (1/3+a)(1/3-a)(1/9+a2) (4+y2)(2+y)(2-y) (1/9y2+x2)(1/3y-x)(1/3y+x)
:(a-1)(a+1)(a2+1) (1/3+a)(1/3-a)(1/9+a2) (4+y2)(2+y)(2-y) (1/9y2+x2)(1/3y-x)(1/3y+x)是这个,题目的那个太挤了
化简:(a-1)(a+1)(a2+1) (1/3+a)(1/3-a)(1/9+a2) (4+y2)(2+y)(2-y) (1/9y2+x2)(1/3y-x)(1/3y+x):(a-1)(a+1)(a2+1) (1/3+a)(1/3-a)(1/9+a2) (4+y2)(2+y)(2-y) (1/9y2+x2)(1/3y-x)(1/3y+x)是这个,题目的那个太挤了
(a-1)(a+1)(a^2+1)
=(a^2-1)(a^2+1)
=a^4-1
(1/3+a)(1/3-a)(1/9+a^2)
=(1/9-a^2)(1/9+a^2)
=1/81-a^4
(4+y^2)(2+y)(2-y)
=(4+y^2)(4-y^2)
=16-y^4
(1/9y^2+x^2)(1/3y-x)(1/3y+x)
(1/9y^2+x^2)(1/9y^2-x^2)
=1/81y^4-x^4
(a-1)(a+1)(a^2+1) (1/3+a)(1/3-a)(1/9+a^2) (4+y^2)(2+y)(2-y) (1/9y^2+x2)(1/3y-x)(1/3y+x)
= (a^2-1)(a^2+1) (1/9-a^2)(1/9+a^2) (4+y^2)(4-y^2) (1/9y^2+x^2)(1/9y^2-x^2)
= (a^4-1)(1/81-a^4)(16-y^4)(...
全部展开
(a-1)(a+1)(a^2+1) (1/3+a)(1/3-a)(1/9+a^2) (4+y^2)(2+y)(2-y) (1/9y^2+x2)(1/3y-x)(1/3y+x)
= (a^2-1)(a^2+1) (1/9-a^2)(1/9+a^2) (4+y^2)(4-y^2) (1/9y^2+x^2)(1/9y^2-x^2)
= (a^4-1)(1/81-a^4)(16-y^4)(1/81y^2-x^4)
收起
1、(a2-1)(a2+1)=a4-1
2、(1/9-a2)(1/9+a2)=1/81-a4
3、(4+y2)(4-y2)=16-y4
4、(1/9y2+x2)(1/9y2-x2)=1/81y4-x4