Factor the Expression: Breaking Down 4y² + 2y Step by Step

Question

Factor the expression completely:

4y2+2y 4y^2 + 2y

Step-by-Step Solution

To factor the expression 4y2+2y 4y^2 + 2y , we identify the common factor in both terms:

The term 4y2 4y^2 can be written as2y2y 2y \cdot 2y .

The term 2y 2y can be written as 2y 2 \cdot y .

The common factor is 2y 2y .

Factorizing gives 2y(2y+1) 2y \cdot (2y + 1) .

Answer

2y(2y+1) 2y \cdot (2y + 1)