Melissa says the GCF of 8x2y + 4xy is 4. Adam says the GCF is 4y. Erica says the GCF is 4xy. Who is correct? In complete sentences explain your answer, and factor the expression…

Question

asked Nov 18, 2020 104k views

1 Answer

Gats · Answer 1 · 2020-11-22T06:24:45+0000

Answer:

Erica

Explanation:

The given expression is
8x^2y+4xy .

The prime factorization of the first term is

$8x^2y=2^3\cdot x^2\cdot y$

The prime factorization of the second term is

$4xy=2^2\cdot x\cdot y$

The greatest common factor is product of the least powers of the common factors.

$GCF=2^2\cdot x\cdot y=4xy$

Therefore Erica is correct.