What is (a2−11)+(3a2−4a+6)?(1 point)

Question

Responses

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

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

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

−5
negative 5

Answer 1

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

1. First, distribute the addition: \[ a^2 - 11 + 3a^2 - 4a + 6 \]

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

3. Then, combine the \(a\) terms: \[ -4a \quad (\text{there's only one term here}) \]

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

Now, putting it all together: \[ 4a^2 - 4a - 5 \]

The correct response is: 4a²−4a−5