This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To simplify the expression (x^2 - 5x - 3) - (4x^2 + 8x - 9), we need to distribute the negative sign to the second polynomial and then combine like terms. Step 1: Distribute the negative sign to each term in the second parenthesis. (x^2 - 5x - 3) - (4x^2 + 8x - 9) = x^2 - 5x - 3 - 4x^2 - 8x + 9 Step 2: Group the like terms together. (x^2 - 4x^2) + (-5x - 8x) + (-3 + 9) Step 3: Combine the like terms. (1-4)x^2 + (-5-8)x + (-3+9) -3x^2 - 13x + 6 Comparing this result with the given options: A) -3x^2 - 13x + 6 B) -2x^2 - 12x + 6 C) 3x^2 + 13x + 6 D) 2x^2 + 12x + 6 The simplified expression matches option A. The final answer is A) -3x^2 - 13x + 6.