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Chapter 4: Q41. (page 179)

Find the greatest common factors of the monomials.

3x,7xy2

Short Answer

Expert verified

The greatest common factors of the monomial isx.

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 3x,7xy2

First finding the factors of numbers.

The factor of 3 is 3=1,3

The factor of 7 is role="math" localid="1647972892562" 7=1,7

Again, find the factors of variables

The factor of x is x=1脳x

The factor of xy2 is xy2=x脳y脳y

03

Step -3 – Finding the GCF 

Now, the common factor among the numbers are 1.

the common factor among the variables are x

So, the greatest common factor is x.

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