因式分解:2x^4y^4-x^8-y^8
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因式分解:2x^4y^4-x^8-y^8因式分解:2x^4y^4-x^8-y^8因式分解:2x^4y^4-x^8-y^82x^4y^4-x^8-y^8=-(x^8-2x^4y^4+y^8)=-(x^4
因式分解:2x^4y^4-x^8-y^8
因式分解:2x^4y^4-x^8-y^8
因式分解:2x^4y^4-x^8-y^8
2x^4y^4-x^8-y^8
=-(x^8-2x^4y^4+y^8)
=-(x^4-y^4)^2
=-(x^2+y^2)^2(x+y)^2(x-y)^2
2x^4y^4-x^8-y^8 =-(-2x^4y^4+x^8+y^8) =-[(x^4)^2-2x^4y^4+(y^4)^2] =-(x^4-y^4)^2 =-[(x^2-y^2)(x^2+y^2)]^2 =-[(x-y)(x+y)(x^2+y^2)]^2 =-(x-y)^2(x+y)^2(x^2+y^2)^2
-(x^4+y^4)^2
2x^4y^4-x^8-y^8 =-(x^4-y^4)^2 =-[(x^2+y^2)(x^2-y^2)]^2 =-(x+y)^2(x-y)^2(x^2+y^2)^2
2x^4y^4-x^8-y^8 =-(x^8+y^8-2x^4y^4) =-(x^4-y^4)^2 =-(x^2+y^2)^2(x^2-y^2)^2 =--(x^2+y^2)^2(x-y)^2(x+y)^2
原式=-(x^8+y^8-2x^4y^4)=-(x^4-y^4)^2=-[(x^2-y^2)(x^2+y^2)]
因式分解:2x^4y^4-x^8-y^8
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