Question

What is (a^2−11)+(3a^2−4a+6)

Answer 1

To simplify the expression \((a^2 - 11) + (3a^2 - 4a + 6)\), you start by combining like terms.

1. First, rewrite the expression without parentheses:
\[
a^2 - 11 + 3a^2 - 4a + 6
\]

2. Now, combine the like terms:
- Combine the \(a^2\) terms: \(a^2 + 3a^2 = 4a^2\)
- Combine the \(a\) term: \(-4a\) (there are no other \(a\) terms to combine with)
- Combine the constant terms: \(-11 + 6 = -5\)

3. Now, put everything together:
\[
4a^2 - 4a - 5
\]

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