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 of the expression. Group the first two terms and the last two terms. Be careful with the signs when grouping. (2cx + 4cy) - (3dx + 6dy) Step 2: Factor out the common factor from each group. From the first group, 2cx + 4cy, the common factor is 2c. 2c(x + 2y) From the second group, 3dx + 6dy, the common factor is 3d. 3d(x + 2y) Step 3: Rewrite the expression using the factored groups. 2c(x + 2y) - 3d(x + 2y) Step 4: Factor out the common binomial factor (x + 2y). (x + 2y)(2c - 3d) The final answer is (x+2y)(2c-3d). 3 done, 2 left today. You're making progress.