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 (5m)^2 - (3n)^2. We need to factor this expression. Step 1: Recognize the form of the expression. The expression (5m)^2 - (3n)^2 is already in the form of a difference of squares, a^2 - b^2, where a = 5m and b = 3n. Step 2: Apply the difference of squares formula. The formula for the difference of squares is a^2 - b^2 = (a-b)(a+b). Substitute a = 5m and b = 3n into the formula. (5m)^2 - (3n)^2 = (5m - 3n)(5m + 3n) The completely factored form of the expression is: (5m - 3n)(5m + 3n) 3 done, 2 left today. You're making progress.