求代数式x³+x²y+xy²+y³分之x的四次方-y的四次方的值,期中x=2002,y=2001
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![求代数式x³+x²y+xy²+y³分之x的四次方-y的四次方的值,期中x=2002,y=2001](/uploads/image/z/370760-32-0.jpg?t=%E6%B1%82%E4%BB%A3%E6%95%B0%E5%BC%8Fx%26%23179%3B%2Bx%26%23178%3By%2Bxy%26%23178%3B%2By%26%23179%3B%E5%88%86%E4%B9%8Bx%E7%9A%84%E5%9B%9B%E6%AC%A1%E6%96%B9-y%E7%9A%84%E5%9B%9B%E6%AC%A1%E6%96%B9%E7%9A%84%E5%80%BC%2C%E6%9C%9F%E4%B8%ADx%3D2002%2Cy%3D2001)
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求代数式x³+x²y+xy²+y³分之x的四次方-y的四次方的值,期中x=2002,y=2001
求代数式x³+x²y+xy²+y³分之x的四次方-y的四次方的值,期中x=2002,y=2001
求代数式x³+x²y+xy²+y³分之x的四次方-y的四次方的值,期中x=2002,y=2001
原式=(x²+y²)(x²-y²)/[x(x²+y²)+y(x²+y²)]
=(x²+y²)(x+y)(x-y)/[(x+y)(x²+y²)]
=x-y
=1
2007/2008x1004+2007/2008x1005—2007/2008
=2007/2008x(1004+1005-1)
=2007/2008x2008
=2007
1035413
23663103