What is (a^2 - 11) + (3a^2 - 4a + 6)?

Answer 1

To simplify the expression \((a^2 - 11) + (3a^2 - 4a + 6)\), we can combine like terms.

1. Write the expression clearly: \[ a^2 - 11 + 3a^2 - 4a + 6 \]

2. Combine the \(a^2\) terms: \[ a^2 + 3a^2 = 4a^2 \]

3. Combine the constant terms: \[ -11 + 6 = -5 \]

4. The expression now looks like this: \[ 4a^2 - 4a - 5 \]

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