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Chapter 4: Q31. (page 179)

Find the greatest common factors of the monomials.

2x,8x2,6x3

Short Answer

Expert verified

The greatest common factors of the monomial is 2x.

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 2x,8x2,6x3.

First finding the factors of numbers.

The factor of 2 is 2=1,2

The factor of 8 is 8=1,2,4,8

The factor of 6 is role="math" localid="1647967506561" 6=1,2,3,6

Again, find the factors of variables

The factor of x is x=1脳x

The factor of x2 is x2=x脳x

The factor of x3 is x3=x脳x脳x

03

Step -3 – Finding the GCF 

Now, the common factor among the numbers are 2.

the common factor among the variables are 1脳x

So, the greatest common factor is 2x.

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