Question

因式分解(x²-2x)²+2(x²-2x)+1,m(x-y)²-x+y

Answer 1

(x²-2x)²宴余+2(x²-2x)+1

=(x²亏祥笑-2x+1)²

=(x-1)^4

m(x-y)²销含-x+y

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

Answer 2

(x²-2x)²+2(x²嫌老-2x)+1

=[(x²-2x)+1]²

=[(x-1)²芹陪升]²
=（x-1）^4

m(x-y)²-x+y
=m(x-y)²-（乱困x-y）

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