x^3z+4x^2yz+4xy^2z因式分解

1、 4x^2yz-12xy^2z+18xyz^2
=2xyz（2x-6y+9z）
2、 (a-2b)^2-(3a-2b)^2
=(a-2b+3a-2b)(a-2b-3a+2b)
=(4a-4b)(-2a)
=-4a(a-b)

3、 2x^5-32x
=2x(x^4-16)
=2x(x²-4)(x²+4)
=2x(x-2)(x+2)(x²+4)

4、-16a^2+9(2a-b)^2
=-(4a)²+[3(2a-b)]²
=(6a-3b)²-(4a)²
=(6a-3b-4a)(6a-3b+4a)
=(2a-3b)(10a-3b)

5、 1/3 mn^3-1/12 m^3n
=1/3 mn(n²-1/4 m²)
=1/3 mn(n-1/2 m)(n+1/2 m)

6、12x-12x^2+3x^3
=3x(4-4x+x²)
=3x(x-2)²

7、 -36z^2+12xyz-x^2y^2
=-(36z²-12xyz+x²y²)
=-(6z-xy)²

8、 (a+b)^2(a-b)+(a+b)(a-b)^2
=(a+b)(a-b)(a+b+a-b)
=2a(a+b)(a-b)
9、 24ab²c²(a+b-c)-32abc(c-a-b)²+8abc³(b-c+a)
=24ab²c²(a+b-c)+32abc(a+b-c)²+8abc³(a+b-c)
=8abc(a+b-c)[3bc+4(a+b-c)+c²]
=8abc(a+b-c)(3bc+4a+4b-4c+c²)
(这道题我只能做到这啦,往下就不会了,你再想想吧)

10、(x+2y)^2-4(4y^2-x^2)+(4y-2x)^2
=-4(2y-x)(2y+x)
11、(a^2-2a)^2-2(a^2-2a)-3
=(a²-2a+1)(a²-2a-3)
=(a-1)²(a+1)(a-3)
12、9x^2y^2-3x^3y^2-6xy^2
=3xy²(3x-x²-2)
=-3xy²(x²-3x+2)
=-3xy²(x-1)(x-2)

13、a^2b^2+c^2-2abc
=(ab-c)²

14、y^2-5y-14
=(y-7)(y+2)
15、x^4-5x^2-36
=(x²+4)(x²-9)
=(x²+4)(x+3)(x-3)

16、6xy-4x-15y+10
=2x(3y-2)-(15y-10)
=2x(3y-2)-5(3y-2)
=(2x-5)(3y-2)
17、1-x^2-y^2+2xy
=1-(x²-2xy+y²)
=1-(x-y)²
=(1-x+y)(1+x-y)

18、a^2-8ab+16b^2-2a+8b
=(a-4b)²-2(a-4b)
=(a-4b)(a-4b-2)

19、a^2-4b^2-a+2b
=(a-2b)(a+2b)+(2b-a)
=-2(a-2b)(a+2b)
20、-1/3x^2+12y^2
=-1/3 (x²+36y²)

(我不保证题都对,你再检查检查吧)

1.（a+b）^2+2(a+b)-8=(a+b+4)(a+b-2)2.x^2-xy-30y^2=(x-6y)(x+y)3.x^3z-4x^2yz+4xy^2z=xz(x^2-4xy+4y^2)=xz(x-2y)^24.(x+2)(x+3)+x^2-4=(x+2)(x+3)+(x+2)(x-2)=(x+2)[(x+3)+(x-2)]=(x+2)(2x+1)5.x^2-6x+9-y^2=(x-3)...