(2x + y)2 - (2x - 3)2 = (2x + y - 2x + 3)(2x + y + 2x - 3) = (y + 3)(4x + y - 3)
\(\left(2x+y\right)^2-4x^2+12x-9\)
\(=\left(2x+y\right)^2-\left(2x-3\right)^2\)
\(=\left(2x+y-2x+3\right)\left(2x+y+2x-3\right)\)
\(=\left(y+3\right)\left(4x+y-3\right)\)