因式分解题 (19 20:23:15)
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因式分解题 (19 20:23:15)
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)
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)
![因式分解题 (19 20:23:15)](/uploads/image/z/9878123-11-3.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%E9%A2%98+%2819+20%3A23%3A15%29)
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]
= (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]