因式分解64x^2y^2-(x^2+16y^2)^2

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因式分解64x^2y^2-(x^2+16y^2)^2

因式分解64x^2y^2-(x^2+16y^2)^2
因式分解64x^2y^2-(x^2+16y^2)^2

因式分解64x^2y^2-(x^2+16y^2)^2
64x^2y^2-(x^2+16y^2)^2
=[8xy+(x^2+16y^2)][8xy-(x^2+16y^2)]
=-(x^2+8xy+16y^2)(x^2-8xy+16y^2)
=-(x+4y)^2*(x-4y)^2