To solve the question, let's go through it step by step.
1. Understand the Phrase:
The phrase given is "the difference of [tex]$3ab$[/tex] and [tex]$7bc$[/tex]." In mathematical terms, the word "difference" refers to subtraction.
2. Identify the Terms:
The two terms involved in the phrase are:
- [tex]\( 3ab \)[/tex]
- [tex]\( 7bc \)[/tex]
3. Arrange the Terms Based on the Phrase:
When we talk about the "difference of [tex]\( 3ab \)[/tex] and [tex]\( 7bc \)[/tex]," we mean subtract [tex]\( 7bc \)[/tex] from [tex]\( 3ab \)[/tex]. This is written mathematically as:
[tex]\[
3ab - 7bc
\][/tex]
4. Check the Given Choices:
Now we need to compare our result with the given choices to find the correct one:
- Choice 1: [tex]\( 3ab - 7bc \)[/tex]
- Choice 2: [tex]\( 7bc - 3ab \)[/tex]
- Choice 3: [tex]\( 3ab7bc \)[/tex] (This choice does not make sense as there is no operator between the terms)
- Choice 4: None of these choices are correct
5. Determine the Correct Choice:
From the comparison, it is clear that Choice 1 matches our translation of "the difference of [tex]\( 3ab \)[/tex] and [tex]\( 7bc \)[/tex]".
Therefore, the correct translation of the statement "the difference of [tex]\( 3ab \)[/tex] and [tex]\( 7bc \)[/tex]" is:
[tex]\[ 3ab - 7bc \][/tex]
Thus, the correct choice is:
Choice 1: [tex]\( 3ab - 7bc \)[/tex]
