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Chapter 4: Q44. (page 179)

Find the greatest common factors of the monomials.

12y2,15y2,5y

Short Answer

Expert verified

The greatest common factors of the monomial is .

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 are12y2,15y2,5y

First finding the factors of numbers.

The factor of 12 is 12=1,2,3,4,6,12

The factor of15is 15=1,3,5,15

The factor of 5is

5=1,5

Again, find the factors of variables

The factor of y2 is y2=y脳y

The factor ofy2 isy2=y脳y

The factor of y is y=1脳y

03

Step -3 – Finding the GCF 

Now, the common factor among the numbers are 1 .

the common factor among the variables are y

So, the greatest common factor is 1脳y=y.

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