SOLUTION: factor completely x^12 y^10 +8x^6 y^5 z -9z^2 Please explain how i get this answer My teacher has the answer as (x^6 y^5+ 9z)(x^6 y^5 -z)

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: factor completely x^12 y^10 +8x^6 y^5 z -9z^2 Please explain how i get this answer My teacher has the answer as (x^6 y^5+ 9z)(x^6 y^5 -z)      Log On


   

Question 800888: factor completely
x^12 y^10 +8x^6 y^5 z -9z^2
Please explain how i get this answer
My teacher has the answer as (x^6 y^5+ 9z)(x^6 y^5 -z)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
factor completely
x^12 y^10 +8x^6 y^5 z -9z^2
Please explain how i get this answer
My teacher has the answer as (x^6 y^5+ 9z)(x^6 y^5 -z)
-------------------------------
x^12*y^10 + 9x^6y^5z - x^6y^5z - 9z^2
----
Factor by pairs::
x^6y^5(x^6y^5+9z) -z(x^6y^5 + 9z)
----
Factor again::
(x^6y^5+9z)(x^6y^5-z)
=========================
Cheers,
Stan H.