29-07-2017
Mathematics

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#23 please!!! Thanks

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konrad509 konrad509

29-07-2017

[tex]\text{gcf}(x^2y^2,xy^3)=xy^2\\\\ xy^2=45\\ [/tex]

45|3
15|3
5|5
1

[tex]xy^2=3^2\cdot5[/tex]

Since x and y are both positive integers, then there's only one possible solution to the above - [tex]x=5,y=3[/tex]

So E.

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