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Chapter 4: Q12. (page 177)

Find the greatest common factor of the monomials.

32y2,6x2y

Short Answer

Expert verified

The greatest common factor is 2y.

Step by step solution

01

Step-1 – Define monomials

A monomial is an expression that has a single term, with variables and a coefficient. For example, 2xy is a monomial since it is a single term, has two variables, and one coefficient.

02

Step-2 – Define greatest common factor

A common factor is a whole number that is a factor of two or more nonzero whole numbers. The greatest of the common factors is the greatest common factor (GCF). The same concept is applicable to the monomials.

03

Step-3 – Factor the monomials

The factors of 6x2yare: 6x2y=2脳3脳y脳x脳x.

The factors of 32y2are: localid="1651713996662" 32y2=2脳2脳2脳2脳2脳y脳y

Since 2脳yis common between the two monomials, therefore, the greatest common factor is 2y.

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Most popular questions from this chapter

Describe how to write the prime factorization of a number.

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