## anonymous 3 years ago Are a rational expression and its simplified forms equivalent? Provide mathematical examples to support your opinions. Somebody please explain!

1. DeoxNA

Just use an example you know is true: $\frac{ 4 }{ 8 } x = \frac{ 1 }{ 2 } x$ Multiply both sides by two and you get x=x

2. DeoxNA

You could forget the x part is you think of x=1, but it will work for any x.

3. anonymous

Hmm.. okay that seems more simple than I thought, thanks!

4. DeoxNA

Anytime :)

5. anonymous

wait wait wai.. Isn't a rational expression a ratio of two polynomials?

6. anonymous

Wouldn't it have to be something like (x^2 +5)/(x+2)?

7. anonymous

No... rational means it can be expressed as a fraction with integers on top and bottom

8. DeoxNA

Both a ratio of polynomials and of integers are a "rational expression", and, in any case, you can use the same example to prove it for polynomials as well.

9. anonymous

Oh, okay thanks! :)

10. anonymous