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

Find the common factor:

25y−100xy2 25y-100xy^2

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Find the common factor:

25y−100xy2 25y-100xy^2

2

Step-by-step solution

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

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

Now find the common factor 25y:

25y(1−4xy) 25y(1-4xy)

3

Final Answer

25y(1−4xy) 25y(1-4xy)

Practice Quiz

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Break down the expression into basic terms:

\( 4x^2 + 6x \)

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