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Chapter 6: Q. 3 (page 572)

In the following exercises, find the greatest common factor.

12m2n3,30m5n3

Short Answer

Expert verified

The GCF of the given expressions is6m2n3.

Step by step solution

01

Step 1. Given Information

The given expressions are12m2n3,30m5n3.

02

Step 2. Factoring   

  • Factor each of the given expressions.

12m2n3=2路2路3路m路m路n路n路n30m5n3=2路3路5路m路m路m路m路m路n路n路n

  • From the factors of the given expression, it is observed that the common factors are 2,3,m,m,n,n,n.
  • Multiply the common factors to determine the GCF of the given expressions.

2路3路m路m路n路n路n=6m2n3

  • So, the GCF of the given expressions is 6m2n3.

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