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\frac{8}{27}x^{3}+\frac{1}{8}y^{3}
Use the distributive property to multiply \frac{2}{3}x+\frac{1}{2}y by \frac{4}{9}x^{2}+\frac{1}{4}y^{2}-\frac{1}{3}xy and combine like terms.
\frac{8}{27}x^{3}+\frac{1}{8}y^{3}
Use the distributive property to multiply \frac{2}{3}x+\frac{1}{2}y by \frac{4}{9}x^{2}+\frac{1}{4}y^{2}-\frac{1}{3}xy and combine like terms.