Question

2. Factor 8x3y2 – 4x2y3 + 40xy3
Show your work.

Answer 1

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)