(x-y)^(2m)-(x-y)^(2m-2)因式分解
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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
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](/uploads/image/z/18957544-16-4.jpg?t=%28x-y%29%5E%282m%29-%28x-y%29%5E%282m-2%29%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3)
(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-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)
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