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 4x^2y - 16xy^2 + 12xy. The terms are 4x^2y, -16xy^2, and 12xy. First, find the GCF of the numerical coefficients: 4, -16, and 12. The GCF of 4, 16, and 12 is 4. Next, find the GCF of the variables. For x: The lowest power of x in the terms is x^1 (from -16xy^2 and 12xy). So, x is a common factor. For y: The lowest power of y in the terms is y^1 (from 4x^2y and 12xy). So, y is a common factor. The overall GCF for the expression is 4xy. Step 2: Factor out the GCF from each term. Divide each term by the GCF, 4xy: (4x^2y)/(4xy) = x (-16xy^2)/(4xy) = -4y (12xy)/(4xy) = 3 Step 3: Write the factored expression. Combine the GCF with the results from Step 2. 4xy(x - 4y + 3) The factored expression is: 4xy(x - 4y + 3) That's 2 down. 3 left today — send the next one.