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

Question

Find the common factor:

$25y-100xy^2$

00:00 Take out common factor

00:04 Break down 100 into factors 25 and 4

00:13 Mark the common factors

00:23 Extract the common factors from the parentheses

00:32 And this is the solution to the question

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

$25\times y-4\times25\times x\times y\times y$

Now find the common factor 25y:

$25y(1-4xy)$

$25y(1-4xy)$