(8v 
2
 +6v−8)+(7v 
2
 +4v+2)−(−8v 
2
 +5v+2)

Let's break down and simplify the expression step by step:

\[
(8v^2 + 6v - 8) + (7v^2 + 4v + 2) - (-8v^2 + 5v + 2)
\]

### Step 1: Distribute the negative sign to the last group of terms:
\[
(8v^2 + 6v - 8) + (7v^2 + 4v + 2) + (8v^2 - 5v - 2)
\]

### Step 2: Combine like terms:
- Combine \( v^2 \) terms: \( 8v^2 + 7v^2 + 8v^2 = 23v^2 \)
- Combine \( v \) terms: \( 6v + 4v - 5v = 5v \)
- Combine constant terms: \( -8 + 2 - 2 = -8 \)

### Final simplified expression:
\[
23v^2 + 5v - 8
\]

Would you like further explanation or details on any part of the process?

Here are some related questions for practice:
1. Simplify \( (5x^2 + 3x - 7) + (2x^2 - 4x + 6) \).
2. Simplify \( (10y + 5) - (3y - 2) \).
3. What is the result of \( (4a^2 + 2a + 1) + (5a^2 - 3a - 4) \)?
4. Combine like terms in \( (3p^2 - 4p + 9) - (p^2 + 6p - 5) \).
5. Simplify \( (7n^2 - 3n + 2) + (6n^2 + n - 8) \).

**Tip:** Always distribute negative signs carefully when simplifying expressions to avoid sign errors.

(8v^2 + 6v - 8) + (7v^2 + 4v + 2) - (-8v^2 + 5v + 2)

Explore the step-by-step process of simplifying the polynomial expression (8v^2 + 6v - 8) + (7v^2 + 4v + 2) - (-8v^2 + 5v + 2). Learn to combine like terms and distribute negative signs correctly, key skills in algebra. Suitable for students in Grades 8-10.

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