\(\left(3x+2\right)^2-\left(x-6\right)^2=\left(3x+2-x+6\right)\left(3x+2+x-6\right)=\left(2x+8\right)\left(4x-4\right)=8\left(x+4\right)\left(x-1\right)\)
\(\left(3x+2\right)^2-\left(x-6\right)^2\)
\(=\left(3x+2+x-6\right)\left(3x+2-x+6\right)\)
\(=\left(4x-4\right)\left(2x+8\right)\)
\(=8\left(x-1\right)\left(x+4\right)\)