SOLUTION: I need help solving this complex fraction: 5+4/x/5-4/x^2 Is 5x^2+4x/5x^2-4 the furthest it reduces to, or can the 5x^2 be cancelled out? Thanks!!!!

Question 45468: I need help solving this complex fraction:
5+4/x/5-4/x^2
Is 5x^2+4x/5x^2-4 the furthest it reduces to, or can the 5x^2 be cancelled out?

Thanks!!!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
[5+(4/x)]/[5-(4/x^2)]
Notice how you might have posted your problem.
=[(5x+4)/x]/[(5x^2-4)/x^2]
=[(5x+4)/x]
=x(5x+4)/(5x^2-4)
No, you cannot cancel the 5x^2 as they are terms; only
factors may be canceled.
Cheers,
Stan H.

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