how do I factor completely?

Question

40xˆ8yˆ8 - 16xˆ3yˆ6 - 20xˆ6yˆ4

Answer 1

40x^8 y^8-16x^3 y^6-20x^6 y^4
=4x^3 y^4(10x^5y^4-4y^2-5x^3)

Answer 2

Look at each term in the polynomial and pick out the highest factor for each.

constants:

40, -16 and -20. Highest factor is 4

x:

x^8, x^3 and x^6. Highest factor is x^3

y:

y^8, y^6 and y^4. Highest factor is y^4

The term taking out front, then, should be 4x^3y^4

Doing so gives you 4x^3y^4(10x^5y^4 - 4y^2 - 5x^3)

Answer 3

40xˆ8yˆ8 - 16xˆ3yˆ6 - 20xˆ6yˆ4

4x^3y^4(10x^5y^8 - 4y^2 - 5x^3)