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(a-b)^3-2ab(a-b)

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/16 15:55:19
(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)
=(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)