What is (a^2−11)+(3a^2−4a+6) ?(1 point) Responses −4a2+4a+5 negative 4 a squared plus 4 a plus 5 −5 negative 5 4a2−4a−5 4 a squared minus 4 a minus 5 3a2−4a−5

Answer 1

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

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

2. Now group the like terms:

   • Combine the \(a^2\) terms: \(a^2 + 3a^2 = 4a^2\)
   • Combine the \(a\) terms: \(-4a\) (there's no other \(a\) term)
   • Combine the constant terms: \(-11 + 6 = -5\)

3. Putting it all together: \[ 4a^2 - 4a - 5 \]

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

The correct response is: 4a² - 4a - 5