因式分解(x²-2x)²+2(x²-2x)+1,m(x-y)²-x+y

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因式分解(x²-2x)²+2(x²-2x)+1,m(x-y)²-x+y

(x²-2x)²+2(x²-2x)+1
=(x²-2x+1)²
=(x-1)^4
m(x-y)²-x+y
=(x-y)(mx-my-1)

(x²-2x)²+2(x²-2x)+1

=[(x²-2x)+1]²

=[(x-1)²]²
=(x-1)^4

m(x-y)²-x+y
=m(x-y)²-(x-y)

=(x-y)(mx-my-1)