(x^2y^2+1)^2-4x^2y^2怎么分解因式?
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![(x^2y^2+1)^2-4x^2y^2怎么分解因式?](/uploads/image/z/15258838-22-8.jpg?t=%28x%5E2y%5E2%2B1%29%5E2-4x%5E2y%5E2%E6%80%8E%E4%B9%88%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%3F)
(x^2y^2+1)^2-4x^2y^2怎么分解因式?
(x^2y^2+1)^2-4x^2y^2怎么分解因式?
(x^2y^2+1)^2-4x^2y^2怎么分解因式?
把x^2y^2看成一个整体k
(k+1)^2-4k=k^2-2k+1=(k-1)^2=(x^2y^2-1)^2
(x^2y^2+1)^2-4x^2y^2=(x^2y^2+1+2xy)(x^2y^2+1-2xy)
(1-X^2Y^2)(1+3X^2Y^2)