\(\left(2x+y\right)^2+\left(3x+y\right)\left(3x-y\right)-13x^2=4x^2+4xy+y^2+9x^2-y^2-13x^2=4xy\)
\(\left(2x+y\right)^2+\left(3x+y\right)\left(3x-y\right)-13x^2\)
\(=4x^2+4xy+y^2+9x^2-y^2-13x^2=4xy\)
\(\left(2x+y\right)^2+\left(3x+y\right)\left(3x-y\right)-13x^2\)
\(=4x^2+4xy+y^2+9x^2-y^2-13x^2\)
\(=4xy\)