Add. Simplify your answer.

Question

(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 \(2a^2 + 3ab + 9b^2\).