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 image shows the expression: (3 - sqrt(x+9)) × (3 + sqrt(x+9)) Step 1: Recognize the form of the expression. This expression is in the form of a difference of squares, (a-b)(a+b), where a=3 and b=sqrt(x+9). Step 2: Apply the difference of squares formula. The formula for the difference of squares is (a-b)(a+b) = a^2 - b^2. Substitute a=3 and b=sqrt(x+9) into the formula: (3)^2 - (sqrt(x+9))^2 Step 3: Simplify the terms. 9 - (x+9) Step 4: Distribute the negative sign and combine like terms. 9 - x - 9 -x The simplified expression is -x. That's 2 down. 3 left today — send the next one.