Simplify (5x2 + 3x + 4) + (5x2 + 5x − 1).

Combine like terms:

(5x2 + 5x2) + (3x + 5x) + (4 - 1)

10x2 + 8x + 3

To simplify the given expression (5x^2 + 3x + 4) + (5x^2 + 5x - 1), you need to combine like terms. Start by grouping the terms with the same degree of x:

(5x^2 + 5x^2) + (3x + 5x) + (4 - 1)

Combine the terms with the same degree of x:

10x^2 + 8x + 3

Therefore, the simplified expression is 10x^2 + 8x + 3.