作业帮几道因式分解..4ab(a+b)^2-6a^2b(a+b)(x+y)^2(x-y)+(x+y)(x-y)^22a(a-3
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/04/30 21:12:28
几道因式分解..
4ab(a+b)^2-6a^2b(a+b)
(x+y)^2(x-y)+(x+y)(x-y)^2
2a(a-3)²-6a²(3-a)+8a(a-3)
24xy²z²(x+y-z)-32xyz(z-x-y)²+8a(a-3)
4ab(a+b)^2-6a^2b(a+b)
(x+y)^2(x-y)+(x+y)(x-y)^2
2a(a-3)²-6a²(3-a)+8a(a-3)
24xy²z²(x+y-z)-32xyz(z-x-y)²+8a(a-3)
4ab(a+b)^2-6a^2b(a+b)
=2ab(a+b)[2(a+b)-3a]
=2ab(a+b)(2b-a)
(x+y)^2(x-y)+(x+y)(x-y)^2
=(x+y)(x-y)[(x+y)+(x-y)]
=2a(x+y)(x-y)
2a(a-3)²-6a²(3-a)+8a(a-3)
=2a(a-3)[(a-3)-3a+4]
=2a(a-3)(-2a+1)
=2a(a-3)(1-2a)
24xy²z²(x+y-z)-32xyz(z-x-y)²
=24xy²z²(x+y-z)+32xyz(x+y-z)²
=8xyz(x+y-z)[3yz+4(x+y-z)]
=8xyz(x+y-z)(4x+4y-4z+3yz)
=2ab(a+b)[2(a+b)-3a]
=2ab(a+b)(2b-a)
(x+y)^2(x-y)+(x+y)(x-y)^2
=(x+y)(x-y)[(x+y)+(x-y)]
=2a(x+y)(x-y)
2a(a-3)²-6a²(3-a)+8a(a-3)
=2a(a-3)[(a-3)-3a+4]
=2a(a-3)(-2a+1)
=2a(a-3)(1-2a)
24xy²z²(x+y-z)-32xyz(z-x-y)²
=24xy²z²(x+y-z)+32xyz(x+y-z)²
=8xyz(x+y-z)[3yz+4(x+y-z)]
=8xyz(x+y-z)(4x+4y-4z+3yz)
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