Find the Common Factor in 5y²+9y: Basic Term Analysis

Question

We factored the expression

$5y^2+9y$ into its basic terms:

$5\cdot y\cdot y+9\cdot y$

What common factor can be found in these terms?

To factor the expression $5y^2+9y$ , we first write each term as a product of factors:

$5y^2 = 5 \cdot y \cdot \orange y$ and $9y=9\cdot \orange y$ .

We notice that both terms include the factor $y$ . Thus, the common factor is $y$ .

$y$