Question

738 983
13/20
Add or Subtract to Simplify: (5x + x ^ 2 - 4) - (4x - x ^ 2 + 6)
2x ^ 2 + x + 2
x + 2
2x ^ 2 + x - 10
x-10

Answer 1

To simplify the expression \( (5x + x^2 - 4) - (4x - x^2 + 6) \), let’s break it down step by step.

1. **Distribute the negative sign** to the second group:
\[
(5x + x^2 - 4) - (4x - x^2 + 6) = 5x + x^2 - 4 - 4x + x^2 - 6
\]

2. **Combine like terms**:
- Combine the \( x^2 \) terms: \( x^2 + x^2 = 2x^2 \)
- Combine the \( x \) terms: \( 5x - 4x = 1x \)
- Combine the constant terms: \( -4 - 6 = -10 \)

So, we get:
\[
2x^2 + x - 10
\]

Thus, the simplified expression is:
\[
\boxed{2x^2 + x - 10}
\]