## Discrete Mathematics with Applications 4th Edition

If $p$, then $q$. $p$. Therefore, $q$. If all algebraic expressions can be written in prefix notation, then $(a+2b)(a^{2}-b)$ can be written in prefix notation. All algebraic expressions can be written in prefix notation. Therefore, $(a+2b)(a^{2}-b)$ can be written in prefix notation.
Replace each complete idea (i.e., an idea that can be expressed as a complete, independent sentence) as a single letter (here, $p$ or $q$). Fill in the blanks in the example argument based on where you put the letters $p$ and $q$ by examining the first argument. Note that you do not need to know what prefix notation is to understand the argument.