((x-y)^2+(x+y)^2)×(x^4-x^2y^2+y^4)化简
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![((x-y)^2+(x+y)^2)×(x^4-x^2y^2+y^4)化简](/uploads/image/z/5902233-33-3.jpg?t=%EF%BC%88%EF%BC%88x-y%EF%BC%89%5E2%2B%EF%BC%88x%2By%EF%BC%89%5E2%EF%BC%89%C3%97%EF%BC%88x%5E4-x%5E2y%5E2%2By%5E4%EF%BC%89%E5%8C%96%E7%AE%80)
((x-y)^2+(x+y)^2)×(x^4-x^2y^2+y^4)化简
((x-y)^2+(x+y)^2)×(x^4-x^2y^2+y^4)化简
((x-y)^2+(x+y)^2)×(x^4-x^2y^2+y^4)化简
原式=(x^2-2xy+y^2+x^2+2xy+y^2)(x^4-x^2y^2+y^4)
=2(x^2+y^2)(x^4-x^2y^2+y^4)
=2(x^6+y^6)
=2x^6+2y^6
((x-y)^2+(x+y)^2)×(x^4-x^2y^2+y^4)
=(2x^2+2y^2)×(x^4-x^2y^2+y^4)
=2(x^2+y^2)×(x^4-x^2y^2+y^4)
=2x^6+2y^6