(3a2 – 5ab + B2) – (–3a2 + 2b2 + 8ab) =

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression: (3a² – 5ab + b²) – (–3a² + 2b² + 8ab)

This problem involves simplifying an expression by combining like terms. Let's break down the steps:

1. Distribute the Negative Sign

• The minus sign in front of the second set of parentheses means we need to multiply each term inside by -1.
• This gives us: (3a² – 5ab + b²) + (3a² - 2b² - 8ab)

2. Combine Like Terms

• Identify like terms: Terms with the same variables raised to the same powers are like terms.
• Combine coefficients: Add or subtract the coefficients of the like terms.
  • a² terms: 3a² + 3a² = 6a²
  • ab terms: -5ab - 8ab = -13ab
  • b² terms: b² - 2b² = -b²

3. Write the Simplified Expression

Putting it all together, the simplified expression is:

6a² - 13ab - b²