七年级因式分解

Question

1.24xy²z²（x+y-z）-32xyz(z-x-y)²+8yz（z的三次方）（z-x-y）
2.32(x-y)+8(y-x)三次方
3.a（b+c-d）+b(d-b-c)
4.(x-y)的三次方-zxy(y-x)
5.-9(x+3)²+4（x+2）²

Answer 1

1. 24xy²z²（x+y-z）-32xyz(z-x-y)²+8yz3（z-x-y）
=8yz（x+y-z）[3xyz-4x（x+y-z）-z2]
=8yz（x+y-z）(3xyz-4x2-4xy+4xz-z2)
2. 32(x-y)+8(y-x)3
=8(x-y)[4-(x-y)2]
=8(x-y)(2+x-y)(2-x+y)
3. a（b+c-d）+b(d-b-c)
= a（b+c-d）-b（b+c-d）
=（b+c-d）(a-b)
4. (x-y)3-zxy(y-x)
=(x-y)[(x-y)2+zxy]
=(x-y)(x2-2xy+y2+zxy)
5. -9(x+3)²+4（x+2）²
=[2（x+2）]2-[3(x+3)]2
=[2（x+2）+3(x+3)][ 2（x+2）-3(x+3)]
=(5x+13)(-x-5)
=-(5x+13)(x+5)

Answer 2

3=-ad+a(b+c)+bd-b(b+c)=-d(a-b)+(b+c)(a-b)=(a-b)(b+c-d)