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\left(6x^{3}-\frac{2}{3}x^{2}\right)\left(3x+4\right)
Use the distributive property to multiply 2x^{2} by 3x-\frac{1}{3}.
18x^{4}+22x^{3}-\frac{8}{3}x^{2}
Use the distributive property to multiply 6x^{3}-\frac{2}{3}x^{2} by 3x+4 and combine like terms.
\left(6x^{3}-\frac{2}{3}x^{2}\right)\left(3x+4\right)
Use the distributive property to multiply 2x^{2} by 3x-\frac{1}{3}.
18x^{4}+22x^{3}-\frac{8}{3}x^{2}
Use the distributive property to multiply 6x^{3}-\frac{2}{3}x^{2} by 3x+4 and combine like terms.