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Chapter 8: Q16. (page 514)

Find the greatest common factor of each set of monomials.

21xy,28x2y,42xy2

Short Answer

Expert verified

The greatest common factor of the given set of monomials is 7xy.

Step by step solution

01

Step 1. Find the factorization of 21xy,28x2y and 42xy2.

Find the factorization of 21xy,28x2yand 42xy2.

21xy=3鈰�7鈰�x鈰�y28x2y=2鈰�2鈰�7鈰�x鈰�x鈰�y42xy2=2鈰�3鈰�7鈰�x鈰�y鈰�y

02

Step 2. Find the greatest common factor of 21xy,28x2y and 42xy2. 

From the factorization of 21xy,28x2yand 42xy2, it can be noticed that the greatest common factor of 21xy,28x2y and42xy2 is7鈰�x鈰�y or 7xy.

Therefore, the greatest common factor of the given set of monomials is 7xy.

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