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Find the greatest common factor of the following monomialsgh^5 10g^5h^4

Find the greatest common factor of the following monomialsgh^5 10g^5h^4-example-1

1 Answer

4 votes

Let's factor both expressions and see which ones are repeated:

• For gh⁵

We can rewrite this expression as g×h×h×h×h×h

• For 10g⁵h⁴

We can rewrite this expression as 10×g⁴×g×h×h×h×h

As you can see, both expressions have the factor g×h×h×h×h, we can rewrite it as gh⁴.

Then, the greatest common factor of the monomials is gh⁴.

answered
User LopsemPyier
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