208k views
1 vote
Find the GCF (greatest common factor) of the following terms.{4xy^2, 2x^2y^2, x^2y^2}

User HLLL
by
7.3k points

1 Answer

2 votes

We need to find the GCF of


\begin{gathered} 4xy^2 \\ 2x^2y^2 \\ \text{and} \\ x^2y^2 \end{gathered}

Let's break apart the terms,


\begin{gathered} 4xy^2=2\cdot2\cdot x\cdot y\cdot y \\ 2x^2y^2=2\cdot x\cdot x\cdot y\cdot y \\ x^2y^2=x\cdot x\cdot y\cdot y \end{gathered}

We can see that the common factors to all 3 terms are x * y * y, which


\begin{gathered} x\cdot y\cdot y \\ =xy^2 \end{gathered}

Thus, the GCF of the 3 terms given is,


xy^2Answer
xy^2

User Thatzprem
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories