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

Question

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

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 .

Answer

2 2