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Chapter 4: Q13. (page 177)

Find the greatest common factors of the monomials.

7xy3,28xy2

Short Answer

Expert verified

The greatest common factors of the monomial is 7xy2.

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 7xy3,28xy2

First finding the factors of numbers.

The factor of 28 is 7=1脳7

The factor of 7 is 28=2脳2脳7

Again, find the factors of variables

The factor of xy3 is xy3=x脳y脳y脳y

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 7.

the common factor among the variables are x脳y脳y

So, the greatest common factor is 7xy2.

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