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

We factored the expression

5y2+9y 5y^2+9y into its basic terms:

5⋅y⋅y+9⋅y 5\cdot y\cdot y+9\cdot y

What common factor can be found in these terms?

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1

Understand the problem

We factored the expression

5y2+9y 5y^2+9y into its basic terms:

5⋅y⋅y+9⋅y 5\cdot y\cdot y+9\cdot y

What common factor can be found in these terms?

2

Step-by-step solution

To factor the expression 5y2+9y 5y^2+9y , we first write each term as a product of factors:

5y2=5⋅y⋅y 5y^2 = 5 \cdot y \cdot \orange y and 9y=9⋅y 9y=9\cdot \orange y .

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

3

Final Answer

y y

Practice Quiz

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Break down the expression into basic terms:

\( 4x^2 + 6x \)

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