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Chapter 8: Q17. (page 514)

Find the greatest common factor of each set of monomials.

6ab,24ab4

Short Answer

Expert verified

The greatest common factor of the given set of monomials is 6ab.

Step by step solution

01

Step 1. Find the factorization of 6ab and 24ab4.

Find the factorization of 6aband 24ab4.

6ab=2鈰�3鈰�a鈰�b24ab4=2鈰�2鈰�2鈰�3鈰�a鈰�b鈰�b鈰�b鈰�b

02

Step 2. Find the greatest common factor of 6ab and 24ab4.

From the factorization of 6ab and 24ab4, it can be noticed that the greatest common factor of 6ab and24ab4 is2鈰�3鈰�a鈰�b or 6ab.

Therefore, the greatest common factor of the given set of monomials is 6ab.

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