Use the Binomial Theorem to Expand the Expression $\left(\frac{x}{3}+4 y\right)^{3}$ A) $\frac{1}{27} x^{6}+\frac{8}{9} x^{3} y^{3}+64 y^{6}$

Multiple Choice

Use the binomial theorem to expand the expression.
- $\left(\frac{x}{3}+4 y\right) ^{3}$

A) $\frac{1}{27} x^{6}+\frac{8}{9} x^{3} y^{3}+64 y^{6}$
B) $\frac{1}{9} x^{3}+\frac{4}{3} x^{2} y+16 x y^{2}+64 y^{3}$
C) $\frac{1}{27} x^{3}+\frac{4}{3} x^{2} y+16 x y^{2}+64 y^{3}$
D) $\frac{1}{9} x^{3}+\frac{4}{3} x^{2} y+64 y^{3}$