what is the greatest common factor of 4xy² and 20x²y⁴?\n4xy\n4xy²\n24xy\n24xy²

Explanation:

Step1: Analyze coefficient GCF

Find GCF of 4 and 20. Factors of 4 are 1, 2, 4. Factors of 20 are 1, 2, 4, 5, 10, 20. So GCF of 4 and 20 is 4.

Step2: Analyze x - terms GCF

For $x$ in $4xy^{2}$ and $x^{2}$ in $20x^{2}y^{4}$, the lowest - power of $x$ is $x$.

Step3: Analyze y - terms GCF

For $y^{2}$ in $4xy^{2}$ and $y^{4}$ in $20x^{2}y^{4}$, the lowest - power of $y$ is $y^{2}$.

Step4: Combine GCFs

Multiply the GCF of coefficients and variables: $4\times x\times y^{2}=4xy^{2}$.

Answer:

B. $4xy^{2}$