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Chapter 6: Q. 8 (page 572)

In the following exercises, find the greatest common factor.

27p2q3,45p3q4,9p4q3

Short Answer

Expert verified

The GCF of the given expressions is9p2q3.

Step by step solution

01

Step 1. Given Information

The given expressions are27p2q3,45p3q4,9p4q3.

02

Step 2. Factoring

  • Factor each of the given expressions.

27p2q3=3路3路3路p路p路q路q路q45p3q4=3路3路5路p路p路p路q路q路q路q9p4q3=3路3路p路p路p路p路q路q路q

  • From the factors of the given expression, it is observed that the common factors are 3,3,p,p,q,q,q.
  • Multiply the common factors to determine the GCF of the given expressions.

3路3路p路p路q路q路q=9p2q3

  • So, the GCF of the given expressions is 9p2q3.

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