4x2 + 9y2 -12xy
= 4x2 - 12xy + 9y2
= ( 2x)2 - 2.2.x.3.y + ( 3y)2
= ( 2x - 3y )2
\(4x^2+9^2-12xy=4x^2-12xy+9^2\)\(\left(2x\right)^2-2.2x.3y+3^2=\left(2x-3\right)^2\)
\(4x^2+9y^2-12xy=4x^2-12xy+9y^2\)
\(\left(2x\right)^2-2.2x.3y+\left(3y\right)^2=\left(2x-3y\right)^2\)