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 factorize the expression x^2 - 9, we recognize it as a difference of squares. The general formula for a difference of squares is a^2 - b^2 = (a - b)(a + b). Step 1: Identify a and b in the expression. In x^2 - 9, we have a^2 = x^2, so a = x. We also have b^2 = 9, so b = sqrt(9) = 3. Step 2: Apply the difference of squares formula. Substitute a=x and b=3 into the formula (a - b)(a + b). x^2 - 9 = (x - 3)(x + 3) Comparing this with the given options: a. (x+3)(x-3) b. (x-1)(x-9) c. (x-3)(x-3) d. (x+9)(x-1) Option a is equivalent to our result, as the order of multiplication does not change the product. The final answer is a. (x+3)(x-3). That's 2 down. 3 left today — send the next one.