To determine To calculate: The simplified form of the rational expression 3 2 x + 5 x . Explanation Given Information: The provided rational expression is 3 2 x + 5 x . Formula used: Follow the steps as mentioned below to add the rational expression with different denominator, Step 1: Find out the least common denominator (LCD). Step 2: Rewrite the fractions of the rational expression with LCD, by multiplying and dividing the numerator and the denominator with the terms needed to get LCD. Step 3: Simplify the numerator by multiplying the terms and leave the denominator in factor form. Step 4: Add or subtract the numerators as required and keep LCD same. Step 5: Simplify the expression obtained from step 4 by factoring the numerator, if possible. Calculation: Consider the provided rational expression, 3 2 x + 5 x The denominators are 2 x and x . Take the factor of 2 x , 2 x = 2 ⋅ x Now take the factor of x , x = x ⋅ 1 Thus, all the factors of the denominator of the rational expression are 2 , x , 1 , x . The highest power factor is x . To compute the LCD take the product of all the non-repeated factors and take repeated factors one time then put the product with the highest power factor as, LCD = 2 ⋅ x = 2 x To make the fractions of the rational expression with LCD, multiply second term of the expression by 2 2 ,

Intermediate Algebra For College Students (9th Edition)

9th Edition

ISBN: 9780321927354

Author: Allen R. Angel, Dennis Runde

Publisher: PEARSON

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Chapter 6.2, Problem 35ES

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To calculate: The simplified form of the rational expression 32x+5x.

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Chapter 6.2, Problem 34ES

Chapter 6.2, Problem 36ES

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Chapter 6 Solutions

Intermediate Algebra For College Students (9th Edition)

Ch. 6.1 - Fill in the blanks with the appropriate word,...Ch. 6.1 - Fill in the blanks with the appropriate word,...Ch. 6.1 - Fill in the blanks with the appropriate word,...Ch. 6.1 - Fill in the blanks with the appropriate word,...Ch. 6.1 - Fill in the blanks with the appropriate word,...Ch. 6.1 - Prob. 6ES Ch. 6.1 - Prob. 9ES Ch. 6.1 - Prob. 7ES Ch. 6.1 - Prob. 10ES Ch. 6.1 - Determine the values that are excluded in the...

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