3. Calculate the value of the product $\frac{2^{3}-1}{2^{3}+1} \cdot \frac{3^{3}-1}{3^{3}+1} \cdot \frac{4^{3}-1}{4^{3}+1} \cdot \ldots \cdot \frac{300^{3}-1}{300^{3}+1}$.
Answer: $\quad \frac{2 \cdot\left(300^{2}+300+1\right)}{3 \cdot 300 \cdot 301}=\frac{90301}{135450}$.