Answer
15$x^{4}$ - $\frac{7}{3}$$x^{3}$ - $\frac{2}{9}$$x^{2}$
Work Step by Step
1. FOIL (excluding $x^{2}$)
(3x - 2/3)(5x + 1/3) = 3x(5x) + 3x(1/3) - (2/3)(5x) - (2/3)(1/3)
2. Multiply.
15$x^{2}$ + x - $\frac{10}{3}$x - $\frac{2}{9}$
3. Add like terms.
15$x^{2}$ - $\frac{7}{3}$x - $\frac{2}{9}$
4. Multiply each term by $x^{2}$
15$x^{4}$ - $\frac{7}{3}$$x^{3}$ - $\frac{2}{9}$$x^{2}$