A=9x^2−6x+1
=(3x)^2−2.3x.1+1^2
=(3x−1)^2
B=(2x+3y)^2+(2x+3y)+1(2x+3y)2+(2x+3y)+1
=[(2x+3y)^2+2.(2x+3y).1/2+(1/2)^2]+3/4
=(2x+3y+1/2)^2+3/4
=(2x+3y+1)(2x+3y)+1
\(25a^2+4b^2-20ab\)
\(=25a^2-20ab+4b^2\)
\(=\left(5a\right)^2-2.5a.2b+\left(2b\right)^2\)
\(=\left(5a-2b\right)^2\)