有九道因式分解,做几道都行1.x^2+4y-9z^2-4xy-6xz+12yz2.a^2b^2-a^2-b^2-4ab+13.a^2(x-y)^2-2a(x-y)^3+(x-y)^44.3a^8-48b^85.x^2m+(2分之1)x^m+(16分之1)6.x^4-6x^2+57.x^4-7x^2+18.x(x+y+z)+yz9.6xy-x^2-5y^2我妈说,如果我做错一点

Question

有九道因式分解,做几道都行
1.x^2+4y-9z^2-4xy-6xz+12yz
2.a^2b^2-a^2-b^2-4ab+1
3.a^2(x-y)^2-2a(x-y)^3+(x-y)^4
4.3a^8-48b^8
5.x^2m+(2分之1)x^m+(16分之1)
6.x^4-6x^2+5
7.x^4-7x^2+1
8.x(x+y+z)+yz
9.6xy-x^2-5y^2
我妈说,如果我做错一点,就不让我学葫芦丝了,(a^2=a的2次方）谢谢!

Answer 1

2 a^2b^2-a^2-b^2-4ab+1
=a^2b^2-2ab+1 -(a^2+b^2-2ab)
=(ab-1)^2-(a+b)^2
=(ab-1+a+b)(ab-1-a-b)
3 a^2(x-y)^2-2a(x-y)^3+(x-y)^4
=(x-y)^2[a^2-2a(x-y)+(x-y)^2 ]
=(x-y)^2(a-x+y)^2
5 x^2m+(2分之1)x^m+(16分之1)
=(x^m+1/4)^2
6 .x^4-6x^2+5
=(x^2-5)(x^2-1)
=(x+genhao5)(x-genhao5)(x+1)(x-1)
8 x(x+y+z)+yz
=x^2+xy+xz+yz
=x(x+y)+(x+y)z
=(x+z)(x+y)
9 6xy-x^2-5y^2
=-(x^2-6xy+5y^2)
=-(x-5y)(x-y)