# Chapter 2 - The Logic of Compound Statements - Exercise Set 2.1: 1

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.

#### Work Step by Step

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.

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