(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

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(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

(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
(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

(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
(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)

(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)]

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)