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
The expression given is 16x^2 - 144. We need to factor this expression. Step 1: Find the greatest common factor (GCF) of the terms. The terms are 16x^2 and 144. The GCF of 16 and 144 is 16. 16x^2 - 144 = 16(x^2 - 9) Step 2: Factor the expression inside the parentheses. The expression x^2 - 9 is a difference of squares, which follows the form a^2 - b^2 = (a-b)(a+b). Here, a^2 = x^2 a = x and b^2 = 9 b = 3. So, x^2 - 9 = (x - 3)(x + 3). Step 3: Combine the factors. Substitute the factored form of x^2 - 9 back into the expression from Step 1. 16(x^2 - 9) = 16(x - 3)(x + 3) The completely factored form of the expression is: 16(x - 3)(x + 3) Send me the next one 📸