已知:x+y=12,xy=9,则x²y+2xy²分之x²+3xy+2y²=
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![已知:x+y=12,xy=9,则x²y+2xy²分之x²+3xy+2y²=](/uploads/image/z/1333324-28-4.jpg?t=%E5%B7%B2%E7%9F%A5%3Ax%2By%3D12%2Cxy%3D9%2C%E5%88%99x%26%23178%3By%2B2xy%26%23178%3B%E5%88%86%E4%B9%8Bx%26%23178%3B%2B3xy%2B2y%26%23178%3B%3D)
已知:x+y=12,xy=9,则x²y+2xy²分之x²+3xy+2y²=
已知:x+y=12,xy=9,则x²y+2xy²分之x²+3xy+2y²=
已知:x+y=12,xy=9,则x²y+2xy²分之x²+3xy+2y²=
x²y+2xy²分之x²+3xy+2y²=
=(x+2y)(x+y)/xy(x+2y)
=(x+y)/xy
=12/9
=4/3
(x²+3xy+2y²)/(x²y+2xy²)
=[(x+2y)(x+y)]/[xy(x+2y)]
=(x+y)/xy
=12/9
=4/3反了吧那就:
(x²y+2xy²)/(x²+3xy+2y²)
=xy(x+2y)/[(x+2y)(x+y)]
=xy/(x+...
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(x²+3xy+2y²)/(x²y+2xy²)
=[(x+2y)(x+y)]/[xy(x+2y)]
=(x+y)/xy
=12/9
=4/3
收起
(x²+3xy+2y²)/(x²y+2xy²)
=(x²+2xy+y²+xy+y²)/(x²y+2xy²)
=[(x+y)²+y(x+y)]/[xy(x+2y)]
=(x+y)[(x+y)+y]/[xy(x+2y)]
=(x+y)(x+2y)/[xy(x+2y)]
=(x+y)/(xy)
=12/9
=4/3