36(x-1)^2-12(x-1)y+y^2 分解因式

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36(x-1)^2-12(x-1)y+y^2分解因式36(x-1)^2-12(x-1)y+y^2分解因式36(x-1)^2-12(x-1)y+y^2分解因式36(x-1)^2-12(x-1)y+y^2

36(x-1)^2-12(x-1)y+y^2 分解因式
36(x-1)^2-12(x-1)y+y^2 分解因式

36(x-1)^2-12(x-1)y+y^2 分解因式
36(x-1)^2-12(x-1)y+y^2
=[6(x-1)-y]^2
=(6x-y-6)^2

设t=x-1
36t^2-12ty+y^2
=(6t-y)^2
=(6x-6-y)^2

36(x-1)^2-12(x-1)y+y^2
=(6x-6)²-2*(6x-6)y+y²
=(6x-6-y)²

36(x-1)^2-12(x-1)y+y^2 =(6(x-1)-y)^2=(6x-y-6)^2

[6(x-1)-y]^2