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(x³-x²y分之5xy)四次方÷(-x²y分之5)四次方乘(xy分之y-x)³
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(x³-x²y分之5xy)四次方÷(-x²y分之5)四次方乘(xy分之y-x)³
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答案和解析
[5xy/(x³-x²y)]⁴÷(-5/x²y)⁴*[(y-x)/xy]³
=[5xy/x²(x-y)]⁴*(x²y/5)⁴*[(y-x)/xy]³
=[5xy/x²(x-y)*(x²y/5)]⁴*[(y-x)/xy]³
=[xy²/(x-y)]⁴*[(y-x)/xy]³
=[xy²/(y-x)]³*[(y-x)/xy]³*xy²/(y-x)
=[xy²/(y-x)*(y-x)/xy]³*xy²/(y-x)
=y³*xy²/(y-x)
=xy^5/(y-x)
=[5xy/x²(x-y)]⁴*(x²y/5)⁴*[(y-x)/xy]³
=[5xy/x²(x-y)*(x²y/5)]⁴*[(y-x)/xy]³
=[xy²/(x-y)]⁴*[(y-x)/xy]³
=[xy²/(y-x)]³*[(y-x)/xy]³*xy²/(y-x)
=[xy²/(y-x)*(y-x)/xy]³*xy²/(y-x)
=y³*xy²/(y-x)
=xy^5/(y-x)
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