What is (a^2−11)+(3a^2−4a+6)?(1 point)

Answer 1

To simplify the expression \((a^2−11)+(3a^2−4a+6)\), you can first distribute and then combine like terms.

1. Start with the original expression: \[ (a^2 - 11) + (3a^2 - 4a + 6) \]

2. Remove the parentheses: \[ a^2 - 11 + 3a^2 - 4a + 6 \]

3. Combine like terms:

   • Combine the \(a^2\) terms: \(a^2 + 3a^2 = 4a^2\)
   • Combine the \(a\) terms: \(-4a\)
   • Combine the constants: \(-11 + 6 = -5\)

Putting it all together, we get: \[ 4a^2 - 4a - 5 \]

So, the simplified expression is: \[ \boxed{4a^2 - 4a - 5} \]