What is (a^2-11)+(3a^2-4a+6)

Answer 1

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

First, we will distribute and combine all the terms:

1. The expression consists of two parts:

   • From the first part: \(a^2 - 11\)
   • From the second part: \(3a^2 - 4a + 6\)

2. Now, we can put the terms together: \[ (a^2 + 3a^2) + (-4a) + (-11 + 6) \]

3. Combine the like terms:

   • For \(a^2\) terms: \(a^2 + 3a^2 = 4a^2\)
   • The \(a\) term is \(-4a\)
   • The constant terms: \(-11 + 6 = -5\)

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

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