What is (a2−11)+(3a2−4a+6)?

Question

(1 point)
Responses

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

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

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

−5

Answer 1

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

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

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

3. Combine the constant terms: \[ -11 + 6 = -5 \]

4. Rewrite the expression combining all results: \[ 4a^2 - 4a - 5 \]

Therefore, the simplified expression is \(4a^2 - 4a - 5\).

The correct response is: 4a^2−4a−5.