问题标题:
【因式分解题(1920:23:15)1.  (x+y)²(x-y)+(x+y)(x-y)²2.  2a(a-3)²-6a²(3-a)+8a(a-3)3.  24xy²z²(x+y-z)-32xyz(z-x-y)²+8xyz³(z-x-y)】
问题描述:
因式分解题(1920:23:15)
1. (x+y)²(x-y)+(x+y)(x-y)²
2. 2a(a-3)²-6a²(3-a)+8a(a-3)
3. 24xy²z²(x+y-z)-32xyz(z-x-y)²+8xyz³(z-x-y)
刘翀回答:
1.(x+y)²(x-y)+(x+y)(x-y)²
=(x+y)(x-y)(x+y+x-y)
=2x(x+y)(x-y)
2.2a(a-3)²-6a²(3-a)+8a(a-3)
=2a(a-3)²+6a²(a-3)+8a(a-3)
=2a(a-3)(a-3+3a+4)
=2a(a-3)(4a+1)
3.24xy²z²(x+y-z)-32xyz(z-x-y)²+8xyz³(z-x-y)
=24xy²z²(x+y-z)+32xyz(x+y-z)²-8xyz³(x+y-z)
=8xyz(x+y-z)[3yz+4(x+y-z)-z^2]
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