College

Which expression is equivalent to [tex]$4s + 3 - 3 - s$[/tex]?

1. [tex]$3s + 6$[/tex]
2. [tex]$4s + 0$[/tex]
3. [tex]$3s$[/tex]
4. [tex]$3s + 1$[/tex]

Answer :

Sure! Let's simplify the expression [tex]\(4s + 3 - 3 - s\)[/tex] step by step to find which of the given options is equivalent.

Step 1: Identify and combine the like terms.
- The terms with [tex]\(s\)[/tex]: [tex]\(4s\)[/tex] and [tex]\(-s\)[/tex].
- The constant terms: [tex]\(+3\)[/tex] and [tex]\(-3\)[/tex].

Step 2: Combine the terms with [tex]\(s\)[/tex].
- [tex]\(4s - s = 3s\)[/tex].

Step 3: Simplify the constant terms.
- [tex]\(+3 - 3 = 0\)[/tex].

Step 4: Write down the simplified expression.
- Therefore, the expression simplifies to [tex]\(3s + 0\)[/tex], which is the same as [tex]\(3s\)[/tex].

Now let's compare this to the given options:

1. [tex]\(3s + 6\)[/tex]
2. [tex]\(4s + 0\)[/tex]
3. [tex]\(3s\)[/tex]
4. [tex]\(3s + 1\)[/tex]

The expression that corresponds to our simplified form [tex]\(3s\)[/tex] is option 3, [tex]\(3s\)[/tex].

So, the correct answer is Option 3: [tex]\(3s\)[/tex].