anonymous
  • anonymous
Find the greatest common factor of these two expressions. 18x^5y^2 and 27x ^5y^8w^3
Algebra
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anonymous
  • anonymous
Find the greatest common factor of these two expressions. 18x^5y^2 and 27x ^5y^8w^3
Algebra
schrodinger
  • schrodinger
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Michele_Laino
  • Michele_Laino
we can rewrite your monomials as follows: \[\Large \begin{gathered} 18{x^5}{y^2} = 2 \times {3^2}{x^5}{y^2} \hfill \\ \\ 27{x^5}{y^8}{w^3} = {3^3}{x^5}{y^8}{w^3} \hfill \\ \end{gathered} \]
Michele_Laino
  • Michele_Laino
now, you have to pick all common factors with the lowest exponent
Michele_Laino
  • Michele_Laino
for example: is 2 a common factor?

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anonymous
  • anonymous
the correct answer is 9x^5y^2
Michele_Laino
  • Michele_Laino
that's right!

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