Question

Subtract minus, 4, x, squared, minus, x, plus, 10−4x
2
−x+10 from x, squared, plus, 10, xx
2
+10x.
Answer

Answer 1

To perform the subtraction, we start with the expression \( x^2 + 10x \) and subtract the expression \( -4x^2 - x + 10 \).

1. Start with the first expression:
\[
x^2 + 10x
\]

2. We want to subtract the second expression:
\[
-(-4x^2 - x + 10) = 4x^2 + x - 10
\]

3. Now combine the two expressions:
\[
(x^2 + 10x) + (4x^2 + x - 10)
\]

4. Combine like terms:
- Combine \( x^2 \) terms: \( x^2 + 4x^2 = 5x^2 \)
- Combine \( x \) terms: \( 10x + x = 11x \)
- Combine constant terms: there are no constant terms in the first expression, and the only constant from the second is \(-10\).

Putting it all together, we get:
\[
5x^2 + 11x - 10
\]

Thus, the result of the subtraction is:
\[
\boxed{5x^2 + 11x - 10}
\]