To simplify the expression, we start by combining like terms. The given expression is:
5x² + 3x + 4 – 5x² + 5x – 1
First, observe that the terms 5x² and -5x² cancel each other out:
(5x² – 5x²) + 3x + 5x + 4 – 1 = 0 + 3x + 5x + 4 – 1
Now, combine the like terms:
- 3x + 5x = 8x
Next, combine the constant terms:
- 4 – 1 = 3
Putting it all together, we get:
8x + 3
So, the simplified expression is 8x + 3.