Question

Subtract x, squared, minus, 6, xx
2
−6x from 5, x, squared, minus, 7, x, minus, 105x
2
−7x−10.

Answer 1

To subtract \(x^2 - 6x\) from \(5x^2 - 7x - 10\), we can set up the expression as follows:

\[
(5x^2 - 7x - 10) - (x^2 - 6x)
\]

Now, distribute the negative sign through the second polynomial:

\[
5x^2 - 7x - 10 - x^2 + 6x
\]

Next, combine like terms:

1. **For \(x^2\) terms:**
\[
5x^2 - x^2 = 4x^2
\]

2. **For \(x\) terms:**
\[
-7x + 6x = -x
\]

3. **The constant remains:**
\[
-10
\]

So, adding everything together gives us:

\[
4x^2 - x - 10
\]

Thus, the result of the subtraction is:

\[
\boxed{4x^2 - x - 10}
\]