sk5 sk5
  • 13-05-2019
  • Mathematics
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Find the GCF of the monomials: 72x^3 y^2 and 210x^2y^5




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carlosego
carlosego carlosego
  • 13-05-2019

For this case we have by definition, that the Greatest Common Factor or GFC, of two or more whole numbers is the largest integer that divides them without leaving a residue.

Now, we look for the factors of 72 and 210:

72: 1,2,3,4,6,8,9,12,16,24,36,72

210: 1,2,3, 5,6,7 ...

Thus, the GFC of both is 6.

Then, the GFC of [tex]72x ^ 3y ^ 2[/tex] and [tex]210x ^ 2y ^ 5[/tex] is given by:

[tex]6x ^ 2y ^ 2[/tex]

ANswer:

[tex]6x ^ 2y ^ 2[/tex]

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