Finding the Common Factor in 25y-100xy²: Algebraic Expression Analysis

Question

Find the common factor:

25y100xy2 25y-100xy^2

Video Solution

Step-by-Step Solution

First, we will decompose the coefficients of the multiplication exercise that will help us find the common factor:

25×y4×25×x×y×y 25\times y-4\times25\times x\times y\times y

Now find the common factor 25y:

25y(14xy) 25y(1-4xy)

Answer

25y(14xy) 25y(1-4xy)