Final answer:
To simplify the given expression, distribute the negative sign and combine the like terms.
Step-by-step explanation:
To simplify the given expression, we need to combine like terms. First, let's distribute the negative sign to the terms inside the second parentheses:
(X⁴ – 3x³ + 5x² + x = 4) - (x³ - 4x² – 11x + 10) = X⁴ – 3x³ + 5x² + x - x³ + 4x² + 11x - 10
Next, let's combine the like terms: X⁴ - 4x³ + 9x² + 12x - 14
Therefore, the simplified expression is: x⁴ - 4x³ + 9x² + 12x - 14 = 0