Finding the Common Factor in 2y + 4: Algebraic Expression Simplification

The expression 2y+4 2y + 4 is to be simplified by factoring. What is the common factor?

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1

Understand the problem

The expression 2y+4 2y + 4 is to be simplified by factoring. What is the common factor?

2

Step-by-step solution

Consider the expression 2y+4 2y + 4 .

Decompose each term into factors:

2y 2y can be rewritten as 2y 2 \cdot y .

4 4 can be rewritten as 22 2 \cdot 2 .

The common factor of these terms is 2 2 .

This means you can factor the expression as 2(y+2) 2(y + 2) . Therefore, the common factor is 2 2 .

3

Final Answer

2 2

Practice Quiz

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Break down the expression into basic terms:

\( 4x^2 + 6x \)

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