搜搜考试网因式分解题 快帮我 (19 20:28:38)
来源：学生作业帮 编辑：搜搜考试网作业帮 分类：数学作业 时间：2024/05/06 21:15:25
因式分解题 快帮我 (19 20:28:38)
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)
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)²-3a(3-a)+4(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)
=8xyz[3yz(x+y-z)-4(z-x-y)²+z2(z-x-y)]
= 8xyz(x+y-z)[3yz+4(z-x-y)-z2]
=(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)²-3a(3-a)+4(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)
=8xyz[3yz(x+y-z)-4(z-x-y)²+z2(z-x-y)]
= 8xyz(x+y-z)[3yz+4(z-x-y)-z2]