Question

Find the sum of minus, 7, x, squared, minus, 1−7x
2
−1 and x, squared, minus, x, minus, 5x
2
−x−5.

Answer 1

To find the sum of the expressions \(-7x^2 - 1\) and \(x^2 - x - 5\), we need to combine them.

1. Start with the given expressions:
- Expression 1: \(-7x^2 - 1\)
- Expression 2: \(x^2 - x - 5\)

2. Combine the expressions:
\[
-7x^2 - 1 + x^2 - x - 5
\]

3. Group the like terms:
- Combine the \(x^2\) terms: \(-7x^2 + x^2 = -6x^2\)
- The linear term: \(-x\)
- Combine the constant terms: \(-1 - 5 = -6\)

4. Putting it all together, we have:
\[
-6x^2 - x - 6
\]

Thus, the final result for the sum is:
\[
-6x^2 - x - 6
\]