When factored completely 4x^2y-8x^2y^2=2xy(2x-4xy+3y)
correct
To factor the given expression completely, we can follow these steps:
Step 1: Look for the greatest common factor.
In the given expression, the greatest common factor is 2xy.
Step 2: Divide each term by the greatest common factor.
Dividing each term by 2xy, we get:
4x^2y / 2xy = 2x
- 8x^2y^2 / 2xy = -4xy
Therefore, the expression becomes: 2xy(2x - 4xy + 3y).
So, when factored completely, the expression 4x^2y - 8x^2y^2 is equal to 2xy(2x - 4xy + 3y).