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  • 已知x/y=2/3求[5y^2/(x-2y)-x-2y]÷(x^2-6xy+9y^2)/(x-2y)的值

    已知x/y=2/3求[5y^2/(x-2y)-x-2y]÷(x^2-6xy+9y^2)/(x-2y)的值
    數(shù)學(xué)人氣:648 ℃時(shí)間:2020-02-03 12:01:07
    優(yōu)質(zhì)解答
    x/y=2/3
    所以y=3x/2
    原式=[5y²-(x-2y)(x+2y)]/(x-2y)÷(x-3y)²/(x-2y)
    =(9y²-x²)/(x-2y)*(x-2y)/(x-3y)²
    =-(x+3y)(x-3y)/(x-2y)*(x-2y)/(x-3y)²
    =-(x+3y)/(x-3y)
    =-(x+3x/2)/(x-3x/2)
    =5-(x+3x/2)/(x-3x/2)這一步的計(jì)算結(jié)果好像不是5啊對
    采納吧=-(x+3y)/(x-3y)
    =-(x+3x/2)/(x-3x/2)這兩部是怎么轉(zhuǎn)換過來的?不是3x/2還要乘以三嗎哦,對不起,是錯(cuò)了

    x/y=2/3
    所以y=3x/2

    原式=[5y²-(x-2y)(x+2y)]/(x-2y)÷(x-3y)²/(x-2y)
    =(9y²-x²)/(x-2y)*(x-2y)/(x-3y)²
    =-(x+3y)(x-3y)/(x-2y)*(x-2y)/(x-3y)²
    =-(x+3y)/(x-3y)
    =-(x+9x/2)/(x-9x/2)
    =11/7
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