Step 1 :First, rewrite the subtraction as an addition problem: \(4x^2 + x - 1\) - \(3x^2 - 2x + 5\) = \(4x^2 + x - 1\) + \(-3x^2 + 2x - 5\)
Step 2 :Next, combine like terms: \(4x^2 - 3x^2\) + \(x + 2x\) + \(-1 - 5\)
Step 3 :Finally, simplify each term: \(x^2 + 3x - 6\)