Question

Subtract minus, 2, x, squared, minus, 2, x, minus, 7−2x
2
−2x−7 from 2, x, squared, plus, 72x
2
+7.

Answer 1

To subtract the expression \(-2x^2 - 2x - 7\) from \(2x^2 + 7\), we can set up the calculation as follows:

\[
(2x^2 + 7) - (-2x^2 - 2x - 7)
\]

When we subtract the second expression, we distribute the negative sign:

\[
2x^2 + 7 + 2x^2 + 2x + 7
\]

Now combine like terms:

- The \(x^2\) terms: \(2x^2 + 2x^2 = 4x^2\)
- The \(x\) terms: \(2x\)
- The constant terms: \(7 + 7 = 14\)

Putting it all together, we have:

\[
4x^2 + 2x + 14
\]

So the final result is:

\[
\boxed{4x^2 + 2x + 14}
\]