Factor completely 20x^3y + 30x^2y^2.
10xy(2x + 3y)
10x2y(2y + 3x)
10x2y(2x + 3y)
prime

10x^2 y(2x + 3y)

Step-by-step explanation:

20x^3 y + 30x^2 y^2.

Factor 10x^2y out of 20x^3y.

10x^2 y (2x) + 30x^2 y^2  

Factor 10x^2y out of 30x^2y^2.

10x^2 y (2x) + 10x^2 y (3y)  

Factor 10x^2y out of 10x^2 y (2x) + 10x^2 y (3y).

10x^2 y(2x + 3y)

you factor out 10x^2y from both side which you will then get 10x^2 y (2x) + 10x^2 y (3y)  than you factor out 10x^2y again and get 10x^2 y(2x + 3y)  your third option