Answer:
5x^2 (2y +5)
Explanation:

LEts write the factors for each term
10x^2y ------> 5*2*x*x*y
25x^2 -------> 5*5*x*x
common factors will be our greatest common factor
5 , x and x are in common
so GCF is 5*x*x = 5x^2
Now we factor out 5x^2


5x^2 ( 2y +5)