For this case we have by definition, that a polynomial has a common factor when the same quantity, either number or letter, is found in all the terms of the polynomial.
We have the following expression:
![3t ^ 5s-15t ^ 2s ^ 3](https://img.qammunity.org/2020/formulas/mathematics/college/c8riz4y73xme0181jzdhof9rfcgdj60lwa.png)
So we have to:
is the lowest common term in the terms of the expression:
![3t ^ 2s (t ^ 3-5s ^ 2)](https://img.qammunity.org/2020/formulas/mathematics/college/lbqir11iedf0gxlmhchbw3vxrwgxcc5x6m.png)
Answer:
![3t ^ 2s](https://img.qammunity.org/2020/formulas/mathematics/college/oi9tnhq0v8fnbzorbpoky8rpmidsr7tvd8.png)