数学高手进（两个因式分解）

(x+1)(2x+1)(3x-1)(4x-1)+6x^4
=(3x^2+2x-1)(8x^2+2x-1)+6x^4
=(3x^2+2x-1)(5x^2+3x^2+2x-1)+6x^4
=(3x^2+2x-1)^2+5x^2(3x^2+2x-1)+6x^4
=(3x^2+2x-1+2x^2)(3x^2+2x-1+2x^2)
=(5x^2+2x-1)(6x^2+2x-1)
(x+y)^4+(x^2-y^2)^2+(x-y)^4
=(x+y)^4+(x+y)^2(x-y)^2+(x-y)^4
=(x+y)^4+2(x+y)^2(x-y)^2+(x-y)^4-(x+y)^2(x-y)^2
=[(x+y)^2+(x-y)^2]^2-(x^2-y^2)^2
=(2x^2+2y^2)^2-(x^2-y^2)^2
=[(2x^2+2y^2)+(x^2-y^2)][(2x^2+2y^2)-(x^2-y^2)]
=(3x^2+y^2)(x^2+3y^2)

2（(x+y）^2+（x-y）^)^2

没图也看不到问题。。。遗憾的飘过。。。