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
Step 1: Factor the numerator using the difference of squares formula. The numerator is 9x^2 - 1. This can be written as (3x)^2 - (1)^2. Using the difference of squares formula, a^2 - b^2 = (a-b)(a+b), where a=3x and b=1: 9x^2 - 1 = (3x-1)(3x+1) Step 2: Substitute the factored numerator back into the expression. The original expression is (9x^2 - 1)/(2x+1). Substituting the factored numerator: ((3x-1)(3x+1))/(2x+1) Step 3: Check for common factors to simplify. The factors in the numerator are (3x-1) and (3x+1). The denominator is (2x+1). There are no common factors between the numerator and the denominator. Therefore, the expression cannot be simplified further by cancellation. The simplified form is: ((3x-1)(3x+1))/(2x+1) What's next? Send 'em! 📸