Keep in mind that "a less than b" means the same as "a substracted from b". Both can be represented algebraically as the following expression:
![b-a](https://img.qammunity.org/2023/formulas/mathematics/college/zen5gv88ot76bvlmcph7hnt91mrq6301ld.png)
Then, the correct algebraic expression for the first phrase, is:
![\begin{gathered} (6*3)-5 \\ 5\text{ less than the product of 6 and 3} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/aqhawmlkpue63dncgqakzzx8brg9bs8mo9.png)
The rest of the given expressions are correct:
![\begin{gathered} 3*(6-5) \\ 3\text{ multiplied by the difference of 6 and 5} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/l35kx6t8sx9tx7lxe0nq31dq32mrowemye.png)
![\begin{gathered} (6*5)-3 \\ 3\text{ substracted from the product of 6 and 5} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/qgo8f9gpi0pjmm5f7mz2rat9wouos6fz4m.png)