Answer :
Sure! Let's simplify the expression [tex]\(4s + 5t - 2s\)[/tex] step by step:
1. Identify Like Terms: In the expression, we have two types of terms: those with the variable [tex]\(s\)[/tex] and those with the variable [tex]\(t\)[/tex].
- The [tex]\(s\)[/tex] terms are [tex]\(4s\)[/tex] and [tex]\(-2s\)[/tex].
- The [tex]\(t\)[/tex] term is [tex]\(5t\)[/tex].
2. Combine Like Terms:
- Focus on the [tex]\(s\)[/tex] terms first: [tex]\(4s - 2s\)[/tex].
- Subtract the coefficients of [tex]\(s\)[/tex]: [tex]\(4 - 2 = 2\)[/tex].
- This results in [tex]\(2s\)[/tex].
3. Finalize the Expression:
- There's no other term with [tex]\(t\)[/tex] to combine, so [tex]\(5t\)[/tex] remains unchanged.
4. Write the Simplified Expression: Combine the results from steps 2 and 3 to form the final simplified expression:
[tex]\[
2s + 5t
\][/tex]
So, the simplified form of the expression [tex]\(4s + 5t - 2s\)[/tex] is [tex]\(2s + 5t\)[/tex].
1. Identify Like Terms: In the expression, we have two types of terms: those with the variable [tex]\(s\)[/tex] and those with the variable [tex]\(t\)[/tex].
- The [tex]\(s\)[/tex] terms are [tex]\(4s\)[/tex] and [tex]\(-2s\)[/tex].
- The [tex]\(t\)[/tex] term is [tex]\(5t\)[/tex].
2. Combine Like Terms:
- Focus on the [tex]\(s\)[/tex] terms first: [tex]\(4s - 2s\)[/tex].
- Subtract the coefficients of [tex]\(s\)[/tex]: [tex]\(4 - 2 = 2\)[/tex].
- This results in [tex]\(2s\)[/tex].
3. Finalize the Expression:
- There's no other term with [tex]\(t\)[/tex] to combine, so [tex]\(5t\)[/tex] remains unchanged.
4. Write the Simplified Expression: Combine the results from steps 2 and 3 to form the final simplified expression:
[tex]\[
2s + 5t
\][/tex]
So, the simplified form of the expression [tex]\(4s + 5t - 2s\)[/tex] is [tex]\(2s + 5t\)[/tex].
