Reducing Rational Expressions
Reducing Rational Expressions of the Form
![](./articles_imgs/961/reduci7.gif)
The result is -1.Note:
Notice that
![](./articles_imgs/961/reduci12.gif)
Formula — To Simplify a Rational Expression of the Form
![](./articles_imgs/961/reduci14.gif)
Here, a and b are real numbers and a ≠ b.
Example 1
Reduce to lowest terms:
![](./articles_imgs/961/reduci15.gif)
Solution
Thus,
![](./articles_imgs/961/reduci20.gif)
Note:
The answer may be written in several
ways.
![](./articles_imgs/961/reduci21.gif)
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