Answer:
To factor 8x^3y^2 - 4x^2y^3 + 40xy^3, we can first take out the common factor of 4xy^2 from all three terms:
4xy^2(2x^2 - y + 10y)
The expression 2x^2 - y + 10y can be simplified to 2x^2 + 9y, so the fully factored form of the expression is:
4xy^2(2x^2 + 9y)