SOLUTION: Simplify the rational expression. x^4-4x^2-32/2x^4+11x^2+12 I don't know where to start. I know you're supposed to factor, but there are missing pieces. Thank you for you

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify the rational expression. x^4-4x^2-32/2x^4+11x^2+12 I don't know where to start. I know you're supposed to factor, but there are missing pieces. Thank you for you      Log On


   

Question 855240: Simplify the rational expression.
x^4-4x^2-32/2x^4+11x^2+12
I don't know where to start. I know you're supposed to factor, but there are missing pieces.
Thank you for your help!!
Found 2 solutions by rothauserc, ewatrrr:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
x^4-4x^2-32/2x^4+11x^2+12
factor the numerator and denominator
(x^2-8)(x^2+4) / (2x^2+3)(x^2+4)
you can cancel (x^2+4) term from numerator and denominator
(x^2-8) / (2x^2+3)

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

x^4-4x^2-32 = (x^2 + 4)(x^2 - 8) 

2x^4+11x^2+12 = (2x^2 + 3)(x^2 + 4)

 

x^4-4x^2-32/2x^4+11x^2+12 = (x^2-8) / (2x^2 + 3)