SOLUTION: Factor: 36X^4Y+33X^3Y^2-15X^2Y^3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor: 36X^4Y+33X^3Y^2-15X^2Y^3      Log On


   

Question 77945: Factor:
36X^4Y+33X^3Y^2-15X^2Y^3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
36x%5E4y%2B33y%5E2-15x%5E2y%5E3 Start with the given expression

x%5E2y%2836x%5E2%2B33xy-15y%5E2%29 Factor out the GCF of x%5E2y

Now we want to factor the quadratic in the parenthesis. If we ignore the y terms we get:

36x%5E2%2B33x-15

Which is a quadratic, so lets factor it:
ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'quadratic_factoring'.
Error occurred executing solver 'quadratic_factoring' .


So if we reintroduce the y terms we get
%289x-3y%29%284x%2B5y%29
now if we include the x%5E2y term we get
x%5E2y%289x-3y%29%284x%2B5y%29

As always, we can multiply and foil x%5E2y%289x-3y%29%284x%2B5y%29 to get 36x%5E4y%2B33y%5E2-15x%5E2y%5E3 again