What is the simplified form of X^4 - 81/x + 3?

Question

anonymous · Answer

This is actually three different and unrelated questions.  Let's concentrate on No. 1.
The key in simplifying this is to recognize a characteristic of the denominator.  x^4-81.  In time you should recognize that it is the difference of two perfect squares.  Furthermore, in time or maybe right now you are familiar with factoring the difference of two squares
a2−b2=(a+b)(a−b)

does that strike a familiar chord?

photon336 · Answer

Yeah you can actually apply what @Need_Homework-Help said. 

$$(x^{4}-81) = (x^{2}-9)(x^{2}+9)$$

anonymous · Answer

x4−81=(x2+9)(x2−9)
  Look at both of those factors and what do you notice again?

anonymous · Answer

what can you say about x^2-9

halox156 · Answer

Thx photon336

photon336 · Answer

of course, this is for the numerator: you can continue to keep simplifying this

anonymous · Answer

kewl glad 2 help