分解因式：

题目

分解因式：
(1)x4+4 (2)x8+x4+1 (3)x4-23x2y2+y4 (4)x4+x2y2+y4
(5) (m2+7m+1)(m2+7m+3)-8 (6)(2x2-3x+1)2-22x2+33x-1
(7)(a-1)(a-2)(a-3)(a-4)+1 （8）(a+b-2ab)(a+b-2)+(1-ab)2
(9)4(2x2-x+1)(x2-2x+3)-(3x2-3x+4)2 (10)(2x-7)(2x+5)(x2-9)-91
(11)(x+5)4+(x+3)4-82
一定要全部做完哈

答案

1.x^4+4x^2+4-4x^2=(x^2+2)^2-(2x)^2
=(x^2+2x+2)(x^2-2x+2)
2.(x^4)^2+2x^4+1-x^4=(x^4+1)^2-(x^2)^2
=(x^4+x^2+1)(x^4-x^2+1)
3.(x^2+y^2)^2-25x^2y^2=(x^2+5xy+y^2)(x^2-5xy+y^2)
4.(x^2+y^2)^2-x^2y^2=(x^2+xy+y^2)(x^2-xy+y^2)
5.(m2+7m)^2+4(m2+7m)-5=(m2+7m+5)(m2+7m-1)
6.(2x2-3x+1)2-11(2x2-3x+1)+10
=(2x2-3x+1-1)(2x2-3x+1-10)
=x(2x-3)(2x+3)(x-3)
7.(a^2-5a+4)(a^2-5a+6)+1
=(a^2-5a)^2+10(a^2-5a)+25
=(a^2-5a+5)^2
8.太多了,累了