
分式计算:(x-y/x+2y)的三次方
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解: [(x-y)/(x+2y)]³
=(x-y)³/(x+2y)³
=[(x-y)(x-y)²]/[(x+2y)(x+2y)²]
=[(x-y)(x²-2xy+y²)]/[(x+2y)(x²+4xy+4y²)]
=(x³-2x²y+xy²-x²y+2xy²-y³)/(x³+4x²y+4xy²+2x²y+8xy²+8y³)
=(x³-3x²y+3xy²-y³/(x³+6x²y+12xy²+8y³)
祝你学习进步,如有不明可以追问.同意我的答案请采纳,O(∩_∩)O谢谢
=(x-y)³/(x+2y)³
=[(x-y)(x-y)²]/[(x+2y)(x+2y)²]
=[(x-y)(x²-2xy+y²)]/[(x+2y)(x²+4xy+4y²)]
=(x³-2x²y+xy²-x²y+2xy²-y³)/(x³+4x²y+4xy²+2x²y+8xy²+8y³)
=(x³-3x²y+3xy²-y³/(x³+6x²y+12xy²+8y³)
祝你学习进步,如有不明可以追问.同意我的答案请采纳,O(∩_∩)O谢谢
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