Simplifying the Expression: (-4b² + 8b) + (-4b³ + 5b² - 8b)
This expression involves combining like terms, which are terms that have the same variable and exponent. Let's break down the process:
Step 1: Identify Like Terms
- b³ terms: -4b³
- b² terms: -4b², 5b²
- b terms: 8b, -8b
Step 2: Combine Like Terms
- b³ terms: -4b³
- b² terms: -4b² + 5b² = b²
- b terms: 8b - 8b = 0
Step 3: Write the Simplified Expression
Putting it all together, we get:
-4b³ + b²
Therefore, the simplified form of the expression (-4b² + 8b) + (-4b³ + 5b² - 8b) is -4b³ + b².