Question

What is (a^2−11)+(3a^2−4a+6)

Answer 1

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

First, distribute the addition across the terms:

\[
a^2 - 11 + 3a^2 - 4a + 6
\]

Now, group the like terms:

1. Quadratic terms: \(a^2\) and \(3a^2\)
2. Linear term: \(-4a\)
3. Constant terms: \(-11\) and \(6\)

Now, combine these:

- For the \(a^2\) terms: \(a^2 + 3a^2 = 4a^2\)
- For the \(a\) term: \(-4a\) (remains as it is)
- For the constants: \(-11 + 6 = -5\)

Putting it all together, the simplified expression is:

\[
4a^2 - 4a - 5
\]