(a-b)^3-2ab(a-b)x(x+y)(x-y)-x(x+y)^2a^2(x-2a)^2-a(2a-x)^2(b+c)x+(c+a)x+(a+b)xa^3(b+c-d)+a^2b(c+d-a)-a^2c(d+a+b)
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![(a-b)^3-2ab(a-b)x(x+y)(x-y)-x(x+y)^2a^2(x-2a)^2-a(2a-x)^2(b+c)x+(c+a)x+(a+b)xa^3(b+c-d)+a^2b(c+d-a)-a^2c(d+a+b)](/uploads/image/z/403713-9-3.jpg?t=%EF%BC%88a-b%EF%BC%89%5E3-2ab%EF%BC%88a-b%EF%BC%89x%EF%BC%88x%2By%EF%BC%89%EF%BC%88x-y%EF%BC%89-x%EF%BC%88x%2By%EF%BC%89%5E2a%5E2%EF%BC%88x-2a%EF%BC%89%5E2-a%EF%BC%882a-x%EF%BC%89%5E2%EF%BC%88b%2Bc%EF%BC%89x%2B%EF%BC%88c%2Ba%EF%BC%89x%2B%EF%BC%88a%2Bb%EF%BC%89xa%5E3%EF%BC%88b%2Bc-d%EF%BC%89%2Ba%5E2b%EF%BC%88c%2Bd-a%EF%BC%89-a%5E2c%EF%BC%88d%2Ba%2Bb%EF%BC%89)
(a-b)^3-2ab(a-b)x(x+y)(x-y)-x(x+y)^2a^2(x-2a)^2-a(2a-x)^2(b+c)x+(c+a)x+(a+b)xa^3(b+c-d)+a^2b(c+d-a)-a^2c(d+a+b)
(a-b)^3-2ab(a-b)
x(x+y)(x-y)-x(x+y)^2
a^2(x-2a)^2-a(2a-x)^2
(b+c)x+(c+a)x+(a+b)x
a^3(b+c-d)+a^2b(c+d-a)-a^2c(d+a+b)
(a-b)^3-2ab(a-b)x(x+y)(x-y)-x(x+y)^2a^2(x-2a)^2-a(2a-x)^2(b+c)x+(c+a)x+(a+b)xa^3(b+c-d)+a^2b(c+d-a)-a^2c(d+a+b)
(a-b)^3-2ab(a-b)
=(a-b)[(a-b)²-2ab]
=(a-b)(a²-4ab+b²)
x(x+y)(x-y)-x(x+y)^2
=(x+y)(x²-xy-x²-xy)
=-2xy(x+y)
a^2(x-2a)^2-a(2a-x)^2
=a(x-2a)²(a-1)
(b+c)x+(c+a)x+(a+b)x
=x(2a+2b+2c)
=2x(a+b+c)
a^3(b+c-d)+a^2b(c+d-a)-a^2c(d+a+b)
=a²(ab+ac-ad+bc+bd-ab-dc-ac-bc)
=a²(-ad+bd)
=a²d(b-a)
可用提取公因式来做
x -4y +x-2y =(x-2y)(x+2y)+(x-2y) =(x-2y)(x+2y+1) x^2(a+b-c)-2(c-b-a) =x (a+b-c)+2(a+b-c) =(a+b-c)(x +