$$(2x- \frac{ 1 }{ 3 } y) \times (x+ \frac{ 3 }{ 2 } y)$$
$\frac{\left(6x-y\right)\left(2x+3y\right)}{6}$
$$2x^{2}+2x\times \frac{3}{2}y-\frac{1}{3}yx-\frac{1}{3}y\times \frac{3}{2}y$$
$$2x^{2}+2x\times \frac{3}{2}y-\frac{1}{3}yx-\frac{1}{3}y^{2}\times \frac{3}{2}$$
$$2x^{2}+3xy-\frac{1}{3}yx-\frac{1}{3}y^{2}\times \frac{3}{2}$$
$$2x^{2}+\frac{8}{3}xy-\frac{1}{3}y^{2}\times \frac{3}{2}$$
$$2x^{2}+\frac{8}{3}xy+\frac{-3}{3\times 2}y^{2}$$
$$2x^{2}+\frac{8}{3}xy+\frac{-1}{2}y^{2}$$
$$2x^{2}+\frac{8}{3}xy-\frac{1}{2}y^{2}$$
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$\frac{8xy}{3}-\frac{y^{2}}{2}+2x^{2}$
