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
Step 1: Recognize the expression as a difference of squares. The expression (x+4)^2 - 9^2 is in the form a^2 - b^2, where a = (x+4) and b = 9. Step 2: Apply the difference of squares formula, a^2 - b^2 = (a-b)(a+b). Substitute a=(x+4) and b=9 into the formula: (x+4)^2 - 9^2 = ((x+4) - 9)((x+4) + 9) Step 3: Simplify the terms within each parenthesis. For the first parenthesis: (x+4) - 9 = x + 4 - 9 = x - 5 For the second parenthesis: (x+4) + 9 = x + 4 + 9 = x + 13 Step 4: Write the completely factorized expression. (x+4)^2 - 9^2 = (x-5)(x+13) (x-5)(x+13) Last free one today — make it count tomorrow, or type /upgrade for unlimited.