What is (a^2−11)+(3a^2−4a+6)

Answer 1

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

1. First, rewrite the expression without parentheses: \[ a^2 - 11 + 3a^2 - 4a + 6 \]

2. Now, combine the like terms:

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

3. Now, put everything together: \[ 4a^2 - 4a - 5 \]

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