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saturns
Nope, 5r + r3s is not a monomial. 
Monomials cannot include addition or subtraction, and since this uses addition, it is not a monomial. 

I hope this helps and have a great day! If you need anymore help you can link me to another question and I will try to solve it!

gl143072
No, this is not a monomial. An monomial example is 2xy^2, this is a trinomial.

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