Answer: xy^2
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Step-by-step explanation:
We can rewrite x^3y^2 into x*x^2*y^2
We can rewrite xy^5 into x*y^2*y^3
Note how x*x^2*y^2 and x*y^2*y^3 both have an x in common. So that means x is part of the GCF.
Similarly, x*x^2*y^2 and x*y^2*y^3 have y^2 in common as well.
Overall, both original expressions contain x and y^2 which leads to the overall GCF being xy^2