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Chapter 4: Q39. (page 179)

Find the greatest common factors of the monomials.

44m2n,48mn2

Short Answer

Expert verified

The greatest common factors of the monomial is 4mn.

Step by step solution

01

Step -1 - Apply the concept of   GCF.

In this, simply use the concept of finding the GCF by doing the factors of the number and find the factor which is common and greatest from them.

02

Step -2 – Find the common factors

Here, the monomials are 44m2n,48mn2

First finding the factors of numbers.

The factor of 44 is 44=1,2,4,11,22,44

The factor of 48 is role="math" localid="1647970263655" 48=1,2,3,4,6,8,12,16,24,48

Again, find the factors of variables

The factor of m2n is m2n=m脳m脳n

The factor of mn2 is mn2=m脳n脳n

03

Step -3 – Finding the GCF 

Now, the common factor among the numbers are 4.

the common factor among the variables are m脳n

So, the greatest common factor is 4mn.

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