What is (a2−11)+(3a2−4a+6)?

(
a
2

11
)
+
(
3
a
2

4
a
+
6
)
?
(1 point)
Responses

4a2−4a−5
4
a
2

4
a

5
4 A squared minus 4 A minus 5

3a2−4a−5
3
a
2

4
a

5
3 A squared minus 4 A minus 5

−4a2+4a+5

4
a
2
+
4
a
+
5
negative 4 A squared plus 4 A plus 5

−5

5
negative 5

3 answers

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

  1. Start with the expression: \[ (a^2 - 11) + (3a^2 - 4a + 6) \]

  2. Remove the parentheses: \[ a^2 - 11 + 3a^2 - 4a + 6 \]

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

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

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

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

So the final simplified expression is: \[ \boxed{4a^2 - 4a - 5} \]

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