因式分解:1. a^3-4a^2b+4ab^2 2. 4y^2-(2z-x)^2 3. 4x^2-y^3 4. 16-(3a+2b)^2 5. (x-y)^3-(y-x)^2

1：a^3-4a^2b+4ab^2 =a（a^2-4ab+4b^2）=a(a-2b)^2
2：4y^2-(2z-x)^2=(2y+2z-x)(2y-2z+x)
3.：4x^2-y^3 这个你确定没有抄错吗？？y^3不好随便分解的
要不就是y^2
那么就是4x^2-y^2=(2x+y)(2x-y)
4.：16-(3a+2b)^2=(4+3a+2b)(4-3a-2b)
5.：(x-y)^3-(y-x)^2=.(x-y)^2(x-y)-(x-y)^2=(x-y)^2(x-y-1)

解：1. a^3-4a^2b+4ab^2=a(a^2-4ab+4b^2)
=a(a-2b)^2
2. 4y^2-(2z-x)^2=(2y)^2-(2z-x)^2
=(2y+2z-x)(2y-2z+x)
=(-x+2y+2z)(x+2y-2z)
3. 4x^2-y^2=(2x)^2-y^2
=(2x+y)(2x-y)
4. 16-(3a+2b)^2=4^2-(3a+2b)^2
=(4+3a+2b)(4-3a-2b)
=(3a+2b+4)(-3a-2b+4)
5. (x-y)^3-(y-x)^2=(x-y)^3-(x-y)^2
=(x-y)^2[(x-y)-1]
=(x-y)^2(x-y-1)

1、原式=a（a^2-4ab+4b^2)=a(a-2b)^2
2、原式=(2y)^2-(2z-x)^2=(2y-2z+x)(2y+2z-x)
3、原式=(2x)^2-y^3=????打错了吧
4、原式=4^2-(3a+2b)^2=(4-3a-2b)(4+3a+2b)
5、原式=(x-y)^3-(x-y)^2=(x-y)^2*(1-x+y)

我光会第四题2.5（6.4-9a^-6ab-4b^)