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Chapter 7: Q 11. (page 819)

In the following exercises, find the greatest common factor.

10p3q,12pq2

Short Answer

Expert verified

GCF is2pq.

Step by step solution

01

Step 1. Given information.

The given expressions are:

10p3qand12pq2

02

Step 2. Find the GCF.

Factor each coefficient into primes and write the variables with exponents in expanded form.

10p3q=2·5·p·p·p·q12pq2=2·2·3·p·q·q

Bring down the common factors,

GCF is:

=2·p·q=2pq

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