(x-y)^(2m)-(x-y)^(2m-2)因式分解还有52xy-8ay+39bx-6ab (x^4+y^4)^2-2x^2 y^2
问题描述：
(x-y)^(2m)-(x-y)^(2m-2)因式分解
还有52xy-8ay+39bx-6ab (x^4+y^4)^2-2x^2 y^2
答
1)原式=(x-y)^(2m-2)(x^2-2xy+y^2-1)==(x-y)^(2m-2)(x-y+1)(x-y-1)
2)十字交叉法 （13x-2a）（4y+3b）
答
(x-y)^(2m)-(x-y)^(2m-2)
=(x-y)^(2m-2)[(x-y)^2-1]
=(x-y)^(2m-2)[(x-y+1)(x-y-1)]
答
(x-y)^(2m)-(x-y)^(2m-2)=(x-y)^(2m-2)[(x-y)^2-1]=(x-y)^(2m-2)[(x-y+1)(x-y-1)] 52xy-8ay+39bx-6ab =4y(13x-2a)+3b(13x-2a)=(13x-2a)(4y+3b) (x^4+y^4)^2-2x^2 y^2=（x^4+y^4+√2xy)(x^4+y^4-√2xy)