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Chapter 11: Q9. (page 667)

Find the GCF of each pair of monomials.

12xy,16x2y

Short Answer

Expert verified

The GCF of the given pair of monomials is4xy.

Step by step solution

01

Step 1. Define greatest common factor.

Greatest common factor is the product of common prime factors of two or more whole numbers. It is a greatest number that is factor of both numbers.

02

Step 2. Factor each number.

Factor each number and write all powers of variables as products.

12xy=2⋅2⋅3⋅x⋅y16x2y=2⋅2⋅2⋅2⋅x⋅x⋅y

03

Step 3. Find the greatest common factor.

Combine common prime factors to find greatest common factor.

2⋅2⋅x⋅y=4xy

Therefore, the GCF of the given pair of monomials is 4xy.

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