已知x+y=4,x-y=6,化简xy(y²+y)-y²(xy+2x)-3xy

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已知x+y=4,x-y=6,化简xy(y²+y)-y²(xy+2x)-3xy

已知x+y=4,x-y=6,化简xy(y²+y)-y²(xy+2x)-3xy
已知x+y=4,x-y=6,化简xy(y²+y)-y²(xy+2x)-3xy

已知x+y=4,x-y=6,化简xy(y²+y)-y²(xy+2x)-3xy
展开xy^3+xy^2-xy^3-2xy^2-3xy=xy^2-2xy^2-3xy=-xy^2-3xy=-xy(y+3).由x+y=4,x-y=6解得,x=5,y=-1那么,原式=-5*2=-10

x+y=4,x-y=6
解得x=5,y=-1
xy(y²+y)-y²(xy+2x)-3xy
=-5(2)-(-5+10)+15
=-10+5+15
=10

xy(y²+y)-y²(xy+2x)-3xy
=xy [(y²+y)-3]-xy²(y+2)
=xy﹛ [(y²+y)-3]-y(y+2)﹜
=xy﹛y²+y-3-y²-2y﹜
=xy·﹛-3-y﹜
∵x+y=4,x-y=6,∴x=5, y=-1.
代入xy·﹛-3-y﹜

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xy(y²+y)-y²(xy+2x)-3xy
=xy [(y²+y)-3]-xy²(y+2)
=xy﹛ [(y²+y)-3]-y(y+2)﹜
=xy﹛y²+y-3-y²-2y﹜
=xy·﹛-3-y﹜
∵x+y=4,x-y=6,∴x=5, y=-1.
代入xy·﹛-3-y﹜
得到答案 :xy·﹛-3-y﹜=-5×﹙-3+1﹚=-5×﹙-2﹚=+10.

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