提取公因式法1.(x-2)^-x+22.x^2y(x-y)-xy^2(y-x)

来源:学生作业帮助网 编辑:作业帮 时间:2024/10/04 05:57:39
提取公因式法1.(x-2)^-x+22.x^2y(x-y)-xy^2(y-x)
x){?ik^tOS 4*t4t+**JM݊8#J M"},ȚM/!n*#kMt @$Lk&b s$D:lD m "Q /.H̳̱z àΪgt.@P;`~*0NKUTR t;`F!F7

提取公因式法1.(x-2)^-x+22.x^2y(x-y)-xy^2(y-x)
提取公因式法
1.(x-2)^-x+2
2.x^2y(x-y)-xy^2(y-x)

提取公因式法1.(x-2)^-x+22.x^2y(x-y)-xy^2(y-x)
1.(x-2)²-x+2
=(x-2)²-(x-2)
=(x-2)(x-2-1)
=(x-2)(x-3)
2.x²y(x-y)-xy²(y-x)
=x²y(x-y)+xy²(x-y)
=xy(x-y)(x+y)

=(x-2)^-(x-2)
=(x-2)(x-1)
x(x-y)(X^2-xy-y^2)-x^2y(y-x)
=x(x-y)(x²-xy-y²)+x(x-y)xy
=x(x-y)(x²-xy-y²+xy)
=x(x-y)(x²-y²)