$\left(3x+y\right)\left(2x+y\right)+\left(3x+y+x-2y\right)\left(x+y\right)=6x^2+5xy+y^2+\left(4x-y\right)\left(x+y\right)=6x^2+5xy+y^2+4x^2-xy+4xy-y^2=10x^2+8xy$