Answer : Option 2
To find the HCF of a and b, we have to see the common terms in a and b
a = \(x^3y^2\) =\( x*x*x*y*y\)
b = \(xy^3\) =\( x*y*y*y\)
HCF =\( x * y * y\) = \(xy^2\)