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Chapter 4: Q30. (page 179)

Find the greatest common factors of the monomials.

18k,15k3

Short Answer

Expert verified

The greatest common factors of the monomial is 3k.

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 15k3,18k

First finding the factors of numbers.

The factor of 18 is 18=1,2,3,6,9,18

The factor of 15 is 15=1,3,5,15

Again, find the factors of variables

The factor of k3 is k3=k脳k脳k

The factor of k is k=1脳k

03

Step -3 – Finding the GCF 

Now, the common factor among the numbers are 3.

the common factor among the variables are 1脳k

So, the greatest common factor is 3k.

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