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Dividing Rational Expressions Learn about dividing rational expressions concept. A rational expression is defined as nothing more than a fraction in which the numerator and or the denominator are polynomials. In numerals division by zero is not allowed. This is the same case in rational expressions. A rational expression is also defined as the division of two polynomials. A dividing rational expression is an algebra expression of the form XY where X and Y are simpler expressions. The condition here is that Y should not be zero. Steps for Dividing Rational Expressions The first thing is to reduce the rational expression to its lowest terms. A rational expression has been reduced to its lowest term only when all the common factors from the numerator and the denominator has been cancelled.


Let us consider an numerical expression, 128. The above expression has not been reduced to its lowest terms When the expression is represented as 32 then we can say that it has been reduced to its lowest terms. The rational expression works in the same way as the above (x+3) (x−1)(x+3) (x) The expression can be reduced to its lowest terms as (x+3)x A dividing rational expression is said to be undefined when it is divided by zero.

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