y+9x=xy怎么因式分解成(x-1)(y-9)=9

来源：学生作业帮助网编辑：作业帮时间：2024/05/10 07:17:04

y+9x=xy怎么因式分解成(x-1)(y-9)=9
y+9x=xy怎么因式分解成(x-1)(y-9)=9

y+9x=xy怎么因式分解成(x-1)(y-9)=9
y+9x=xy
xy-9x-y=0
xy-9x-y+9=9
(x-1)(y-9)=9

这样倒推：
(x-1)(y-9)=9
xy-9x-y+9=9
xy=y+9x

y+9x=xy xy－9x－y+9=9 x(y－9)－(y－9)=9 (y－9)(x－1)=9

y+9x=xy
xy-9x-y=0
xy-9x-y+9-9=0
(x-1)y-9(x-1)=9
(y-9)(x-1)=9

y+9x=xy，所以：xy-y-9x+9=9
即：y(x-1)-9(x-1)=9,所以：(x-1)(y-9)=9

y+9x=xy
xy-9x-y=0
x(y-9)-y=0
x(y-9)-y+9-9=0
x(y-9)-(y-9)-9=0
x(y-9)-(y-9)=9
(y-9)(x-1)=9
(x-1)(y-9)=9

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