x^2+6x+9 = (x+3)^2
4x^2 - 4x + 1 = (2x-1)^2
9x^2 - 12xy + 4y^2 = (3x-2y)^2
(x-y/3)(x+y/3)=x^2-y^2/9

1) x² + 6x +..9. = (x + .3..)²;
2) 4x² - 4x+1=(2x+1)*2

 

 x² + 6x +9 . = (x + .3..)²;
4x^2- 4x + 4 = 2x - 2 
-12xy + 4y 
 

1, x^2 + 6x +9 = (x + 3 )^2 
2,4x^2 - 4x + 1 = ( 2x-1 )^2
3, 9x^2 - 6xy + 4y^2 = ( 3x -2y )^2
4, ( x - y/3 ) ( x + y/3 ) = x^2 - y^2/9
5, x^2 -10x + 25 = ( x - 5 )^2
6, 4x^2 -4x^2 +x^2 = ( 4x - x^2 )^2
7,x^2 - 6xy + 9y^2  = ( x - 3y )^2
8, (2x + y^2 ) (2x - y^2 ) = 4x^2 -y^4