Question

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:
\[
\boxed{4a^2 - 4a - 5}
\]