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: Group the terms with common factors. We can group the first two terms and the last two terms, or group terms with 'a' and terms with 'c'. Let's group terms that share 3a and terms that share C. 3a - C - 3ab + bC Rearrange the terms to group them more clearly: 3a - 3ab - C + bC Step 2: Factor out the common factor from each group. From the first group, 3a - 3ab, the common factor is 3a. 3a(1 - b) From the second group, -C + bC, the common factor is -C. -C(1 - b) Step 3: Combine the factored groups. Now the expression is: 3a(1 - b) - C(1 - b) Step 4: Factor out the common binomial factor (1 - b). (1 - b)(3a - C) The factored expression is: (1 - b)(3a - C)