9(x+y)^2-6(x+y)+1因式分解

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9(x+y)^2-6(x+y)+1因式分解9(x+y)^2-6(x+y)+1因式分解9(x+y)^2-6(x+y)+1因式分解9(x+y)^2-6(x+y)+1=[3(x+y)]^2-2*3(x+y)

9(x+y)^2-6(x+y)+1因式分解
9(x+y)^2-6(x+y)+1因式分解

9(x+y)^2-6(x+y)+1因式分解
9(x+y)^2-6(x+y)+1
=[3(x+y)]^2-2*3(x+y)+1
=[3(x+y)-1]^2
=(3x+3y-1)^2

=[3(x+y)-1]^2
十字相乘法

9(x+y)^2-6(x+y)+1
把x+y看做一项
=[3(x+y)-1]^2
=(3x+3y-1)^2

原式=【3(x+y)】^2-2*3(x+y)*1+1=[3(x+y)+1]^2

令x+y=m
9(x+y)^2-6(x+y)+1=9m^2-6m+1=(3m-1)^2=(3x+3y-1)^2

令x+y=m 把x+y看做一项
9(x+y)^2-6(x+y)+1=9m^2-6m+1=(3m-1)^2=(3x+3y-1)^2