crazycatperson crazycatperson

13-09-2020
Mathematics

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6x4y 12xy2 6x5y3

What is the greatest common factor (GCF) of the monomials shown above?

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mhanifa mhanifa

13-09-2020

Answer:

6xy

Step-by-step explanation:

GCF of the given monomials consists of 3 parts:

Constant coefficient = 6, 12, 6 ⇒ 6
Variable x = degree 4, 1 and 5 ⇒ degree 1
Variable y = degree 1, 2 and 3 ⇒ degree 1

Combined all, the greatest common factor is 6xy

6x⁴y = 6xy * x³
12xy² = 6xy * 2y
6x⁵y³ = 6xy* x⁴y²

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