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
Okay, slim, let's simplify this expression. Step 1: Identify the greatest common factor (GCF) in the expression. The terms are 3x^2 and 27. The GCF of 3 and 27 is 3. Step 2: Factor out the GCF from the expression. 3x^2 - 27 = 3(x^2 - 9) Step 3: Recognize the expression inside the parentheses as a difference of squares. The difference of squares formula is a^2 - b^2 = (a - b)(a + b). Here, x^2 is a^2, so a=x. And 9 is b^2, so b=3. Step 4: Apply the difference of squares formula. 3(x^2 - 3^2) = 3(x - 3)(x + 3) The simplified form is 3(x - 3)(x + 3). That's 2 down. 3 left today — send the next one.