What is Division of Rational Expressions?

Question

Isaiah Anthony · Accepted Answer

Division of a rational expression are similar to fractions.For dividing rational expressions, you will use the same method as you used for dividing numerical fractions: when dividing by a fraction, you flip-n-multiply. For instance:

#[ (x^2 + 2x - 15) / (x^2 - 4x - 45) ] ÷ [ (x^2 + x - 12) / (x^2 - 5x - 36) ]#

here as you see i have factored the different expressions and cancelled the common expression finally it gets reduced to nothing

Hope this helped you

Ethan Adkins · Answer

undefined Division of rational expressions is the process of dividing one rational expression by another. To divide rational expressions, we follow these steps: 
1. Simplify both the numerator and denominator of each rational expression, if possible.
2. Flip the second rational expression (the divisor) and change the division sign to multiplication.
3. Multiply the first rational expression (the dividend) by the flipped second rational expression.
4. Simplify the resulting expression, if possible, by canceling out common factors in the numerator and denominator.
5. Write the simplified expression as the quotient of two rational expressions, if necessary.