Question

Add. Simplify your answer.
(4a2–3ab+b2)+(
–
2a2+6ab+8b2)


please?

Answer 1

To add and simplify the expression \((4a^2 - 3ab + b^2) + (-2a^2 + 6ab + 8b^2)\), we will combine like terms.

1. **Distribute the addition**:
\[
4a^2 - 3ab + b^2 - 2a^2 + 6ab + 8b^2
\]

2. **Combine like terms**:
- For \(a^2\) terms: \(4a^2 - 2a^2 = 2a^2\)
- For \(ab\) terms: \(-3ab + 6ab = 3ab\)
- For \(b^2\) terms: \(b^2 + 8b^2 = 9b^2\)

3. **Write the simplified expression**:
\[
2a^2 + 3ab + 9b^2
\]

So, the simplified answer is \(2a^2 + 3ab + 9b^2\).