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
You're on a roll — here's how to factorize the expression: Step 1: Identify the terms and find their greatest common factor (GCF). The expression is 8xy^3 + 12xy^2. The terms are 8xy^3 and 12xy^2. First, find the GCF of the numerical coefficients: 8 and 12. The GCF of 8 and 12 is 4. Next, find the GCF of the variables. For x: Both terms contain x. The lowest power of x is x^1. So, x is a common factor. For y: Both terms contain y. The lowest power of y is y^2 (from 12xy^2). So, y^2 is a common factor. The overall GCF for the expression is 4xy^2. Step 2: Factor out the GCF from each term. Divide each term by the GCF, 4xy^2: (8xy^3)/(4xy^2) = 2y (12xy^2)/(4xy^2) = 3 Step 3: Write the factored expression. Combine the GCF with the results from Step 2. 4xy^2(2y + 3) The factored expression is: 4xy^2(2y + 3) Drop the next question.