十字相乘,因式分解题(1)(a-b)(x^2-y^2)-(x-y)(a^2-b^2)(2)a^2-b^2+2(ax-by)+x^2-y^2(3)(x-1)(x-2)(x-3)+(x-1)(x-2)-x+1(4)10(y-x)-45(x-y)^2-20(x-y)^3
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十字相乘,因式分解题(1)(a-b)(x^2-y^2)-(x-y)(a^2-b^2)(2)a^2-b^2+2(ax-by)+x^2-y^2(3)(x-1)(x-2)(x-3)+(x-1)(x-2)-x+1(4)10(y-x)-45(x-y)^2-20(x-y)^3
十字相乘,因式分解题
(1)(a-b)(x^2-y^2)-(x-y)(a^2-b^2)
(2)a^2-b^2+2(ax-by)+x^2-y^2
(3)(x-1)(x-2)(x-3)+(x-1)(x-2)-x+1
(4)10(y-x)-45(x-y)^2-20(x-y)^3
十字相乘,因式分解题(1)(a-b)(x^2-y^2)-(x-y)(a^2-b^2)(2)a^2-b^2+2(ax-by)+x^2-y^2(3)(x-1)(x-2)(x-3)+(x-1)(x-2)-x+1(4)10(y-x)-45(x-y)^2-20(x-y)^3
这也太麻烦了吧
1.（a-b)(x-y)(x+y+a+b)
2.(a+x)^2-(b+y)^2=(a+x+b+y)(a+x-b-y)
3(x-1)(x-1)(x-3)
4.(y-x)(4(x-y)+1)(5(x-y)+10)
(1)(a-b)(x^2-y^2)-(x-y)(a^2-b^2)
=(a-b)(x+y)(x-y)-(x-y)(a-b)(a+b)
=(a-b)(x-y)(x+y+a+b)
(2)a^2-b^2+2(ax-by)+x^2-y^2
(3)(x-1)(x-2)(x-3)+(x-1)(x-2)-x+1
=(x-1)(x-2)(x-3)+(x-1)(x-2)-(x-...
全部展开
(1)(a-b)(x^2-y^2)-(x-y)(a^2-b^2)
=(a-b)(x+y)(x-y)-(x-y)(a-b)(a+b)
=(a-b)(x-y)(x+y+a+b)
(2)a^2-b^2+2(ax-by)+x^2-y^2
(3)(x-1)(x-2)(x-3)+(x-1)(x-2)-x+1
=(x-1)(x-2)(x-3)+(x-1)(x-2)-(x-1)
=(x-1)(x-2)(x-2)-(x-1)
=(x-1)(x-2-1)(x-2+1)
=(x-1)^2(x-3)
(4)10(y-x)-45(x-y)^2-20(x-y)^3
=-10(x-y)-45(x-y)^2-20(x-y)^3
=-5(x-y)[2+9(x-y)+4(x-y)^2]
=-5(x-y)[4(x-y)*2(x-y)]
=-40(x-y))^3
收起
（a-b)(x-y)(x+y+a+b)
(a+x)^2-(b+y)^2=(a+x+b+y)(a+x-b-y)
(x-1)(x-1)(x-3)
(y-x)(4(x-y)+1)(5(x-y)+10)
就这样