因式分解(x-2y)^2-12(x-y)+36

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

因式分解(x-2y)^2-12(x-y)+36
(x-2y)^2 - 12(x-y) + 36
= (x-2y) ^2-12(x-2y+y)+36
=(x-2y) ^2-12(x-2y)-12y+36=(x-2y-6)^2-12y
=(x-2y-6)^2-(2√3y) ^2
=(x-2y+2√3y -6)(x-2y-2√3y -6)

(x-2y)^2 - 12(x-2y) + 36
= (x-2y)*(x-2y-12)+36
=(x-2y)*(x-2y+24)
=(x-2y-6)^2

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