(1)x^2-x+1/4=(x-1/2)^2
(2)1/4m^2+3mn+9n^2=1/4(m^2+12mn+36n^2)=1/4(m+6n)^2
(3)9a^2b^2-3ab+1不是完全平方
(4)x^6-10x^3-25不是完全平方
(1)x^2-12xy+36y^2=(x-6)^2
(2)16a^4+24a^2b^2+9b^4=(4a^2+3b^2)^2
(3))-2xy-x^2-y^2=-(2xy+x^2+y^2)=-(x+y)^2
(4)4-12(x-y)+9(x-y)^2=[3(x-y)-2]^2