Factor completely.

-5x2y + 10xy - 15xy2

-5xy (x+3y-2)

Step-by-step explanation:

Factor

-5xy out of - 5x2y+10xy-15xy2.

5xy * (3y+2)

Step-by-step explanation:

(1) : "y2" was replaced by "y^2".

Step by step solution:

Step 1:

Equation at the end of step 1:

10xy + (3•5xy2)

Step 2:

Step 3:

Pulling out like terms:

3.1 Pull out like factors:

15xy2 + 10xy = 5xy • (3y + 2)

Final result:

5xy • (3y + 2)