Explain simplifying rational expressions, Mathematics

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Explain Simplifying Rational Expressions ?

A rational expression, or algebraic fraction, is an expression in which you have a polynomial divided by a polynomial. Sometimes it is said that a rational expression is a polynomial "over" a polynomial.

Here are two examples of rational expressions:

10x3y/15x2y4 and (2x2 +11x +15) /x2-9

Important: The bottom polynomial can never be zero, because division by zero is undefined!
To simplify or reduce a fraction such as 6/15, you must first factor the numerator and denominator, and then you can eliminate, or cross out, the common factors.

Like this:

1707_The bottom polynomial.png
The same canceling procedure can be used to simplify rational expressions. Here are some examples of how you can do this:


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