因式分解,务必要划到最简.最好有过程.没有也随便.(7a^2+2b^2)^2-(2b^2+7b^2)^2(a^2+b^2+c^2)^2-4a^2b^2(x+1)(x+2)(x+3)(x+4)-1203x^2+4y^2+3z^2+8xy-8zy-10xzx^2+2(a+b)x-(3a^2-10ab+3b^2)6x^2+7xy+2y^2-8x-5y+26x^2-15y^2-6z^2-xy5xz+21yzx^3+9x^

Question

因式分解,务必要划到最简.最好有过程.没有也随便.
(7a^2+2b^2)^2-(2b^2+7b^2)^2
(a^2+b^2+c^2)^2-4a^2b^2
(x+1)(x+2)(x+3)(x+4)-120
3x^2+4y^2+3z^2+8xy-8zy-10xz
x^2+2(a+b)x-(3a^2-10ab+3b^2)
6x^2+7xy+2y^2-8x-5y+2
6x^2-15y^2-6z^2-xy5xz+21yz
x^3+9x^2+26x+24
a^3+b^3+c^3-3abc
x^5+x+1
bc(b+c)+ca(c-a)-ab(a+b)
(b-c)^3+(c-a)^3+(a-b)^3
8x^3-(x-y)^3-(x+y)^3
x^3+(2a+1)x^2+(a^2+2a-1)x+a^2-1
a^2(b+c)+b^2(c+a)+c^2(a+b)-a^3-b^3-c^3-2abc
做几道算几道,务必按照次序.
谢.只给三天时间,

Answer 1

第一题好像打错了,后半部应是(2a^2+7b^2)^2
1原式=45(a^2-b^2)
=45(a+b)(a-b)
如果没错,原式=7(7a^2+11b^2)(a+b)(a-b)
2原式=a^4+b^4+c^4-2a^2b^2+2a^2c^2+2b^2c^2
==[(a+b)^2+c^2][(a-b)^2+c^2]
3原式=（x^2+5x+6）(x^2+5x+4)-120
=(x^2+5x)^2+10(x^2+5x)-96
=(x^2+5x+16)(x^2+5x-6)
=(x^2+5x+16)(x+6)(x-1)
4原式=(3x+2y)(x+2y)+2z(4y+5x)+3z^2
=(3x+2y+z)(x+2y+3z)
5原式=x^2+2(a+b)x-（3a-b）(a-3b)
=(x+3a-b)(x-a+3b)
6原式=(2x+y)(3x+2y)-(8x+5y)+2
=(2x+y-2)(3x+2y-1)
7原式=（2x+3y）(3x-5y)-6z^2+z(-5x+21y)
=(x+3y-3z)(3x-5y+2z)
8原式=x^2(x+2)+7x(x+2)+12(x+2)
=(x+2)(x^2+7x+12)
=(x+2)(x+3)(x+4)
9原式=(a+b)^3+c^3-3ab(a+b+c)
=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)
10原式=x^5-x^2+x^2+x+1
=x^2(x-1)(x^2+x+1)+x^2+x+1
= (x^2+x+1)(x^3-x^2+1
11原式=(c-a)(b^2+ac)+b(c+a)(c-a)
=(c-a)(b^2+ac+bc+ab)
=(a+b)(b+c)(c-a)
12原式= 3(a-b)(b-c)(c-a)
13原式=6x(x^2-y^2)
6x(x+y)(x-y)
14原式= (x+1)(x+a-1)(x+a+1)
15原式=-a^3+a^2(b+c)+a(b-c)^2-(b+c)(b-c)^2
=a^2(-a+b+c)-(b-c)^2(-a+b+c)
=(-a+b+c)[a^2-(b-c)^2]
=(-a+b+c)(a-b+c)(a+b-c).