
Concept explainers
To calculate: The division of the rational expression,

Answer to Problem 31E
The division of rational expression is
Explanation of Solution
Given information:
The expression is given as:
Formula used:
For the rational expression:
Fractions property for dividing rational expression:
Fractions property for multiplying rational expression:
Product formula:
Factoring trinomials: The factor of algebraic expression which contain three terms is of the from
Choose the values of
Calculation:
Consider the, algebraic expression
Use the fraction property for dividing rational expression
Use the fraction property for multiplying rational expression
Factor the second term in numeratorbyFactoring trinomials rule,
Factor the second term in denominator byFactoring trinomials rule and common 4 from the first term,
Apply the product formula in first term in denominator,
Cancel the common factors from the numerator and denominator,
Thus, the division of rational expression is
Chapter 1 Solutions
Precalculus - A Custom Text for UNLV
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