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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].
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].
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