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
Here's how to factorize the expression: Step 1: Identify the terms and find their greatest common factor (GCF). The expression is 2bx + 6by. The terms are 2bx and 6by. First, find the GCF of the numerical coefficients: 2 and 6. The GCF of 2 and 6 is 2. Next, find the GCF of the variables. Both terms contain the variable b. The variable x is only in the first term. The variable y is only in the second term. So, the common variable factor is b. The overall GCF for the expression is 2b. Step 2: Factor out the GCF from each term. Divide each term by the GCF, 2b: (2bx)/(2b) = x (6by)/(2b) = 3y Step 3: Write the factored expression. Combine the GCF with the results from Step 2. 2b(x + 3y) The factored expression is: 2b(x + 3y) 3 done, 2 left today. You're making progress.