[tex]a)(x+1)^2+(x+2)^2+(x+3)^2= \\
x^2+1+2x+x^2+4+4x+x^2+9+6x=\boxed{3x^2+12x+14} \\ \\
b)(2x+3y)^2+(2x+3y)(2x-3y)= \\
4x^2+9y^2+12xy+4x^2-9y^2=8x^2+12xy=\boxed{4x(2x+3y)} \\ \\
c)(2x+3y)^2+4x(3x-2)+(2x-1)^2= \\
4x^2+9y^2+12xy+12x^2-8x+4x^2+1-4x= \\
\boxed{20x^2+9y^2+12xy-12x}[/tex]