Answer:
5x^2 (2y +5)
Explanation:
![10x^2y+25x^2](https://img.qammunity.org/2020/formulas/mathematics/high-school/x1rxsxj342bfmn368wfulhv71qwsxw81tx.png)
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
![10x^2y+25x^2](https://img.qammunity.org/2020/formulas/mathematics/high-school/x1rxsxj342bfmn368wfulhv71qwsxw81tx.png)
![5x^2 ((10x^2y)/(5x^2) +(25x^2)/(5x^2))](https://img.qammunity.org/2020/formulas/mathematics/high-school/r87x2fxpai6zpd8t0b8t1zme27obg7f8mu.png)
5x^2 ( 2y +5)