因式分解x^4-2y^4-2x^3y+xy^3

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因式分解x^4-2y^4-2x^3y+xy^3
因式分解x^4-2y^4-2x^3y+xy^3

因式分解x^4-2y^4-2x^3y+xy^3
x^4-2y^4-2x^3y+xy^3
=x(x^3+y^3)-2y(x^3+y^3)
=(x-2y)(x^3+y^3)
=(x-2y)(x+y)(x^2-xy+y^2)
^表示指数.

你好：
x^4+xy^3-2y^4-2x^3y
=x(x^3+y^3)-2y(x^3+y^3)
=(x^3+y^3)(x-2y)
=(x+y)(x^2-xy+y^2)(x-2y)

x^4-2y^4-2x^3y+xy^3
=(x^4+xy^3)-(2y^4+2x^3y)
=x(x^3+y^3)-2y(x^3+x^3)
=(x-2y)(x^3+y^3)
=(x-2y)(x+y)(x^2-xy+y^2)

x^4-2y^4-2x^3y+xy^3
=x^4+xy^3-2y^4-2x^3y+xy^3
=x(x³+y³)-2y(x³+y³)
=(x³+y³)(x-2y)
=(x+y)(x²-xy+y²)(x-2y)

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