(x^2+2)^2-3x^2-6，分组分解法，分解因式 x^3-x^2y-xy^2+y^3,分组分解法，分解因式
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(x^2+2)^2-3x^2-6
=(x^2+2)^2-3(x^2+2)
=((x^2+2)-3)(x^2+2)
=(x^2-1)(x^2+2)
=(x+1)(x-1)(x^2+2)
x^3-x^2y-xy^2+y^3
=(x^3-x^2y)-(xy^2-y^3)
=x^2(x-y)-y^2(x-y)
=(x^2-y^2)(x-y)
=(x+y)(x-y)(x-y)
=(x+y)(x-y)^2
=(x^2+2)^2-3(x^2+2)
=((x^2+2)-3)(x^2+2)
=(x^2-1)(x^2+2)
=(x+1)(x-1)(x^2+2)
x^3-x^2y-xy^2+y^3
=(x^3-x^2y)-(xy^2-y^3)
=x^2(x-y)-y^2(x-y)
=(x^2-y^2)(x-y)
=(x+y)(x-y)(x-y)
=(x+y)(x-y)^2
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