Question

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