1、25(a-b) ^2-10(a-b)+1 2、(x+2)(x-6)+16 3、(x^2-2x) ^2+2(x^2-2x)+1

1、25(a-b) ^2-10(a-b)+1 2、(x+2)(x-6)+16 3、(x^2-2x) ^2+2(x^2-2x)+1

1原式=[5(a-b)]^2-2*5(a-b)*1+1^2
=[5(a-b)-1]^2=(5a-5b-1)^2
2原式=x^2-4x-12+16
=x^2-2*x*2+2^2
=(x-2)^2
3原式=【x^2-2x+1】^2
=(x-1)^4
1=[5(a-b)]^2-2*5(a-b)*1+1^2=[5(a-b)-1]^2=(5a-5b-1)^2
2=x^2-4x-12+16=x^2-2*2x+2^2=(x-2)^2
3=(x^2-2x+1)^2=(x-1)^4