What is (a2−11)+(3a2−4a+6)

Question

?(1 point)
Responses

−4a2+4a+5
negative 4 a squared plus 4 a plus 5

4a2−4a−5
4 a squared minus 4 a minus 5

3a2−4a−5
3 a squared minus 4 a minus 5

−5

Answer 1

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

1. Start by distributing and rearranging the terms: \[ a^2 - 11 + 3a^2 - 4a + 6 \]

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

3. There is one \(a\) term: \[ -4a \]

4. Now combine the constant terms: \[ -11 + 6 = -5 \]

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

So the final answer is \(\boxed{4a^2 - 4a - 5}\).