(1)不彻底,结果为(x-2)^4(2)(x^2-2x)(x^2-2x+2)+1=(x²-2x)²+2(x²-2x)+1=(x²-2x+1)²=(x-1)^4
不彻底;结果为:(x-2)^4
令x^2-2x=y
原式=y(y+2)+1
=y²+2y+1
=(y+1)²
=(x²-2x+1)²
=[(x-1)²]²
=(x-1)^4