Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Chapter 5.6, Problem 33WE
To determine

To simplify the given expression.

Expert Solution & Answer
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Answer to Problem 33WE

  5x(x3)(x2)(x+2)

Explanation of Solution

Given:

Expression: 3x25x+6+2x24

Calculation:

Consider the given expression 3x25x+6+2x24 ,

Since the denominators of both the fractions are different, find the least common denominator for both the fractions.

Here, least common denominator is (x3)(x2)(x+2) , so

  3x25x+6+2x24

  =3(x3)(x2)+2(x2)(x+2)

[Factorizing the denominators]

  =3(x+2)(x3)(x2)(x+2)+2(x3)(x2)(x+2)(x3)

  =3(x+2)(x3)(x2)(x+2)+2(x3)(x3)(x2)(x+2)

Now, as the denominators of the two fractions are same, simply add the numerators and put the result on the same denominator.

  =3(x+2)+2(x3)(x3)(x2)(x+2)

  =3x+6+2x6(x3)(x2)(x+2)=3x+6+2x6(x3)(x2)(x+2)=5x(x3)(x2)(x+2)

Conclusion:

Therefore, after simplification, the answer is 5x(x3)(x2)(x+2) .

Chapter 5 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 5.1 - Prob. 11OECh. 5.1 - Prob. 12OECh. 5.1 - Prob. 1WECh. 5.1 - Prob. 2WECh. 5.1 - Prob. 3WECh. 5.1 - Prob. 4WECh. 5.1 - Prob. 5WECh. 5.1 - Prob. 6WECh. 5.1 - Prob. 7WECh. 5.1 - Prob. 8WECh. 5.1 - Prob. 9WECh. 5.1 - Prob. 10WECh. 5.1 - Prob. 11WECh. 5.1 - Prob. 12WECh. 5.1 - Prob. 13WECh. 5.1 - Prob. 14WECh. 5.1 - Prob. 15WECh. 5.1 - Prob. 16WECh. 5.1 - Prob. 17WECh. 5.1 - Prob. 18WECh. 5.1 - Prob. 19WECh. 5.1 - Prob. 20WECh. 5.1 - Prob. 21WECh. 5.1 - Prob. 22WECh. 5.1 - Prob. 23WECh. 5.1 - Prob. 24WECh. 5.1 - Prob. 25WECh. 5.1 - Prob. 26WECh. 5.1 - Prob. 27WECh. 5.1 - Prob. 28WECh. 5.1 - Prob. 29WECh. 5.1 - Prob. 30WECh. 5.1 - Prob. 31WECh. 5.1 - Prob. 32WECh. 5.1 - Prob. 33WECh. 5.1 - Prob. 34WECh. 5.1 - Prob. 35WECh. 5.1 - Prob. 36WECh. 5.1 - Prob. 1MRECh. 5.1 - Prob. 2MRECh. 5.1 - Prob. 3MRECh. 5.1 - Prob. 4MRECh. 5.1 - Prob. 5MRECh. 5.1 - Prob. 6MRECh. 5.1 - Prob. 7MRECh. 5.1 - Prob. 8MRECh. 5.1 - Prob. 9MRECh. 5.1 - Prob. 10MRECh. 5.1 - Prob. 11MRECh. 5.1 - Prob. 12MRECh. 5.1 - Prob. 1ECh. 5.1 - Prob. 2ECh. 5.2 - Prob. 1OECh. 5.2 - Prob. 2OECh. 5.2 - Prob. 3OECh. 5.2 - Prob. 4OECh. 5.2 - Prob. 5OECh. 5.2 - Prob. 6OECh. 5.2 - Prob. 7OECh. 5.2 - Prob. 8OECh. 5.2 - Prob. 9OECh. 5.2 - Prob. 10OECh. 5.2 - Prob. 11OECh. 5.2 - Prob. 12OECh. 5.2 - Prob. 13OECh. 5.2 - Prob. 14OECh. 5.2 - Prob. 15OECh. 5.2 - Prob. 16OECh. 5.2 - Prob. 1WECh. 5.2 - Prob. 2WECh. 5.2 - Prob. 3WECh. 5.2 - Prob. 4WECh. 5.2 - Prob. 5WECh. 5.2 - Prob. 6WECh. 5.2 - Prob. 7WECh. 5.2 - Prob. 8WECh. 5.2 - Prob. 9WECh. 5.2 - Prob. 10WECh. 5.2 - Prob. 11WECh. 5.2 - Prob. 12WECh. 5.2 - Prob. 13WECh. 5.2 - Prob. 14WECh. 5.2 - Prob. 15WECh. 5.2 - Prob. 16WECh. 5.2 - Prob. 17WECh. 5.2 - Prob. 18WECh. 5.2 - Prob. 19WECh. 5.2 - Prob. 20WECh. 5.2 - Prob. 21WECh. 5.2 - Prob. 22WECh. 5.2 - Prob. 23WECh. 5.2 - Prob. 24WECh. 5.2 - Prob. 25WECh. 5.2 - Prob. 26WECh. 5.2 - Prob. 27WECh. 5.2 - Prob. 28WECh. 5.2 - Prob. 29WECh. 5.2 - Prob. 30WECh. 5.2 - Prob. 31WECh. 5.2 - Prob. 32WECh. 5.2 - Prob. 33WECh. 5.2 - Prob. 34WECh. 5.2 - 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Prob. 16WECh. 5.3 - Prob. 17WECh. 5.3 - Prob. 18WECh. 5.3 - Prob. 19WECh. 5.3 - Prob. 20WECh. 5.3 - Prob. 21WECh. 5.3 - Prob. 22WECh. 5.3 - Prob. 23WECh. 5.3 - Prob. 24WECh. 5.3 - Prob. 25WECh. 5.3 - Prob. 26WECh. 5.3 - Prob. 27WECh. 5.3 - Prob. 28WECh. 5.3 - Prob. 29WECh. 5.3 - Prob. 30WECh. 5.3 - Prob. 31WECh. 5.3 - Prob. 1PCh. 5.3 - Prob. 2PCh. 5.3 - Prob. 3PCh. 5.3 - Prob. 4PCh. 5.3 - Prob. 5PCh. 5.3 - Prob. 6PCh. 5.3 - Prob. 7PCh. 5.3 - Prob. 8PCh. 5.3 - Prob. 9PCh. 5.3 - Prob. 10PCh. 5.3 - Prob. 11PCh. 5.3 - Prob. 12PCh. 5.3 - Prob. 13PCh. 5.3 - Prob. 14PCh. 5.3 - Prob. 15PCh. 5.3 - Prob. 1MRECh. 5.3 - Prob. 2MRECh. 5.3 - Prob. 3MRECh. 5.3 - Prob. 4MRECh. 5.3 - Prob. 5MRECh. 5.3 - Prob. 6MRECh. 5.3 - Prob. 7MRECh. 5.3 - Prob. 8MRECh. 5.3 - Prob. 9MRECh. 5.3 - Prob. 10MRECh. 5.3 - Prob. 11MRECh. 5.3 - Prob. 12MRECh. 5.3 - Prob. 1STCh. 5.3 - Prob. 2STCh. 5.3 - Prob. 3STCh. 5.3 - Prob. 4STCh. 5.3 - Prob. 5STCh. 5.3 - Prob. 6STCh. 5.3 - Prob. 7STCh. 5.3 - Prob. 8STCh. 5.3 - Prob. 9STCh. 5.3 - Prob. 10STCh. 5.4 - Prob. 1OECh. 5.4 - Prob. 2OECh. 5.4 - Prob. 3OECh. 5.4 - Prob. 4OECh. 5.4 - Prob. 5OECh. 5.4 - Prob. 6OECh. 5.4 - Prob. 7OECh. 5.4 - Prob. 8OECh. 5.4 - Prob. 9OECh. 5.4 - Prob. 10OECh. 5.4 - Prob. 11OECh. 5.4 - Prob. 12OECh. 5.4 - Prob. 13OECh. 5.4 - Prob. 14OECh. 5.4 - Prob. 15OECh. 5.4 - Prob. 1WECh. 5.4 - Prob. 2WECh. 5.4 - Prob. 3WECh. 5.4 - Prob. 4WECh. 5.4 - Prob. 5WECh. 5.4 - Prob. 6WECh. 5.4 - Prob. 7WECh. 5.4 - Prob. 8WECh. 5.4 - Prob. 9WECh. 5.4 - Prob. 10WECh. 5.4 - Prob. 11WECh. 5.4 - Prob. 12WECh. 5.4 - Prob. 13WECh. 5.4 - Prob. 14WECh. 5.4 - Prob. 15WECh. 5.4 - Prob. 16WECh. 5.4 - Prob. 17WECh. 5.4 - Prob. 18WECh. 5.4 - Prob. 19WECh. 5.4 - Prob. 20WECh. 5.4 - Prob. 21WECh. 5.4 - Prob. 22WECh. 5.4 - Prob. 23WECh. 5.4 - Prob. 24WECh. 5.4 - Prob. 25WECh. 5.4 - Prob. 26WECh. 5.4 - Prob. 27WECh. 5.4 - Prob. 28WECh. 5.4 - Prob. 29WECh. 5.4 - Prob. 30WECh. 5.4 - Prob. 31WECh. 5.4 - Prob. 32WECh. 5.4 - Prob. 33WECh. 5.4 - Prob. 34WECh. 5.4 - Prob. 35WECh. 5.4 - 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Prob. 1MRECh. 5.5 - Prob. 2MRECh. 5.5 - Prob. 3MRECh. 5.5 - Prob. 4MRECh. 5.5 - Prob. 5MRECh. 5.5 - Prob. 6MRECh. 5.5 - Prob. 7MRECh. 5.5 - Prob. 8MRECh. 5.5 - Prob. 9MRECh. 5.5 - Prob. 10MRECh. 5.5 - Prob. 11MRECh. 5.5 - Prob. 12MRECh. 5.6 - Prob. 1OECh. 5.6 - Prob. 2OECh. 5.6 - Prob. 3OECh. 5.6 - Prob. 4OECh. 5.6 - Prob. 5OECh. 5.6 - Prob. 6OECh. 5.6 - Prob. 7OECh. 5.6 - Prob. 8OECh. 5.6 - Prob. 1WECh. 5.6 - Prob. 2WECh. 5.6 - Prob. 3WECh. 5.6 - Prob. 4WECh. 5.6 - Prob. 5WECh. 5.6 - Prob. 6WECh. 5.6 - Prob. 7WECh. 5.6 - Prob. 8WECh. 5.6 - Prob. 9WECh. 5.6 - Prob. 10WECh. 5.6 - Prob. 11WECh. 5.6 - Prob. 12WECh. 5.6 - Prob. 13WECh. 5.6 - Prob. 14WECh. 5.6 - Prob. 15WECh. 5.6 - Prob. 16WECh. 5.6 - Prob. 17WECh. 5.6 - Prob. 18WECh. 5.6 - Prob. 19WECh. 5.6 - Prob. 20WECh. 5.6 - Prob. 21WECh. 5.6 - Prob. 22WECh. 5.6 - Prob. 23WECh. 5.6 - Prob. 24WECh. 5.6 - Prob. 25WECh. 5.6 - Prob. 26WECh. 5.6 - Prob. 27WECh. 5.6 - Prob. 28WECh. 5.6 - Prob. 29WECh. 5.6 - Prob. 30WECh. 5.6 - Prob. 31WECh. 5.6 - Prob. 32WECh. 5.6 - Prob. 33WECh. 5.6 - Prob. 34WECh. 5.6 - Prob. 35WECh. 5.6 - Prob. 36WECh. 5.6 - Prob. 37WECh. 5.6 - Prob. 38WECh. 5.6 - Prob. 39WECh. 5.6 - Prob. 40WECh. 5.6 - Prob. 41WECh. 5.7 - Prob. 1WECh. 5.7 - Prob. 2WECh. 5.7 - Prob. 3WECh. 5.7 - Prob. 4WECh. 5.7 - Prob. 5WECh. 5.7 - Prob. 6WECh. 5.7 - Prob. 7WECh. 5.7 - Prob. 8WECh. 5.7 - Prob. 9WECh. 5.7 - Prob. 10WECh. 5.7 - Prob. 11WECh. 5.7 - Prob. 12WECh. 5.7 - Prob. 13WECh. 5.7 - Prob. 14WECh. 5.7 - Prob. 15WECh. 5.7 - Prob. 16WECh. 5.7 - Prob. 17WECh. 5.7 - Prob. 18WECh. 5.7 - Prob. 19WECh. 5.7 - Prob. 20WECh. 5.7 - Prob. 21WECh. 5.7 - Prob. 22WECh. 5.7 - Prob. 23WECh. 5.7 - Prob. 24WECh. 5.7 - Prob. 25WECh. 5.7 - Prob. 26WECh. 5.7 - Prob. 27WECh. 5.7 - Prob. 28WECh. 5.7 - Prob. 29WECh. 5.7 - Prob. 30WECh. 5.7 - Prob. 31WECh. 5.7 - Prob. 32WECh. 5.7 - Prob. 33WECh. 5.7 - Prob. 34WECh. 5.7 - Prob. 35WECh. 5.7 - Prob. 1MRECh. 5.7 - Prob. 2MRECh. 5.7 - Prob. 3MRECh. 5.7 - Prob. 4MRECh. 5.7 - Prob. 5MRECh. 5.7 - Prob. 6MRECh. 5.7 - Prob. 7MRECh. 5.7 - Prob. 8MRECh. 5.7 - Prob. 9MRECh. 5.7 - Prob. 10MRECh. 5.7 - Prob. 11MRECh. 5.7 - Prob. 12MRECh. 5.7 - Prob. 1STCh. 5.7 - Prob. 2STCh. 5.7 - Prob. 3STCh. 5.7 - Prob. 4STCh. 5.7 - Prob. 5STCh. 5.7 - Prob. 6STCh. 5.7 - Prob. 7STCh. 5.7 - Prob. 8STCh. 5.8 - Prob. 1OECh. 5.8 - Prob. 2OECh. 5.8 - Prob. 3OECh. 5.8 - Prob. 4OECh. 5.8 - Prob. 5OECh. 5.8 - Prob. 6OECh. 5.8 - Prob. 7OECh. 5.8 - Prob. 8OECh. 5.8 - Prob. 9OECh. 5.8 - Prob. 1WECh. 5.8 - Prob. 2WECh. 5.8 - Prob. 3WECh. 5.8 - Prob. 4WECh. 5.8 - Prob. 5WECh. 5.8 - Prob. 6WECh. 5.8 - Prob. 7WECh. 5.8 - Prob. 8WECh. 5.8 - Prob. 9WECh. 5.8 - Prob. 10WECh. 5.8 - Prob. 11WECh. 5.8 - Prob. 12WECh. 5.8 - Prob. 13WECh. 5.8 - Prob. 14WECh. 5.8 - Prob. 15WECh. 5.8 - Prob. 16WECh. 5.8 - Prob. 17WECh. 5.8 - Prob. 18WECh. 5.8 - Prob. 19WECh. 5.8 - Prob. 20WECh. 5.8 - Prob. 21WECh. 5.8 - Prob. 22WECh. 5.8 - Prob. 23WECh. 5.8 - Prob. 24WECh. 5.8 - Prob. 1PCh. 5.8 - Prob. 2PCh. 5.8 - Prob. 3PCh. 5.8 - Prob. 4PCh. 5.8 - Prob. 5PCh. 5.8 - Prob. 6PCh. 5.8 - Prob. 7PCh. 5.8 - Prob. 8PCh. 5.8 - Prob. 9PCh. 5.8 - Prob. 10PCh. 5.8 - Prob. 11PCh. 5.8 - Prob. 12PCh. 5.8 - Prob. 13PCh. 5.8 - Prob. 14PCh. 5.8 - Prob. 15PCh. 5.8 - Prob. 16PCh. 5.8 - Prob. 17PCh. 5.8 - Prob. 18PCh. 5.8 - Prob. 19PCh. 5.8 - Prob. 20PCh. 5.8 - Prob. 21PCh. 5.9 - Prob. 1WECh. 5.9 - Prob. 2WECh. 5.9 - Prob. 3WECh. 5.9 - Prob. 4WECh. 5.9 - Prob. 5WECh. 5.9 - Prob. 6WECh. 5.9 - Prob. 7WECh. 5.9 - Prob. 8WECh. 5.9 - Prob. 9WECh. 5.9 - Prob. 10WECh. 5.9 - Prob. 11WECh. 5.9 - Prob. 12WECh. 5.9 - Prob. 13WECh. 5.9 - Prob. 14WECh. 5.9 - Prob. 15WECh. 5.9 - Prob. 16WECh. 5.9 - Prob. 17WECh. 5.9 - Prob. 18WECh. 5.9 - Prob. 19WECh. 5.9 - Prob. 20WECh. 5.9 - Prob. 21WECh. 5.9 - Prob. 22WECh. 5.9 - Prob. 23WECh. 5.9 - Prob. 24WECh. 5.9 - Prob. 25WECh. 5.9 - Prob. 26WECh. 5.9 - Prob. 27WECh. 5.9 - Prob. 28WECh. 5.9 - Prob. 29WECh. 5.9 - Prob. 30WECh. 5.9 - Prob. 1PCh. 5.9 - Prob. 2PCh. 5.9 - Prob. 3PCh. 5.9 - Prob. 4PCh. 5.9 - Prob. 5PCh. 5.9 - Prob. 6PCh. 5.9 - Prob. 7PCh. 5.9 - Prob. 8PCh. 5.9 - Prob. 9PCh. 5.9 - Prob. 10PCh. 5.9 - Prob. 11PCh. 5.9 - Prob. 12PCh. 5.9 - Prob. 13PCh. 5.9 - Prob. 14PCh. 5.9 - Prob. 15PCh. 5.9 - Prob. 16PCh. 5.9 - Prob. 17PCh. 5.9 - Prob. 18PCh. 5.9 - Prob. 19PCh. 5.9 - Prob. 20PCh. 5.9 - Prob. 21PCh. 5.9 - Prob. 22PCh. 5.9 - Prob. 23PCh. 5.9 - Prob. 1MRECh. 5.9 - Prob. 2MRECh. 5.9 - Prob. 3MRECh. 5.9 - Prob. 4MRECh. 5.9 - Prob. 5MRECh. 5.9 - Prob. 6MRECh. 5.9 - Prob. 7MRECh. 5.9 - Prob. 8MRECh. 5.9 - Prob. 9MRECh. 5.9 - Prob. 10MRECh. 5.9 - Prob. 11MRECh. 5.9 - Prob. 12MRECh. 5.9 - Prob. 1STCh. 5.9 - Prob. 2STCh. 5.9 - Prob. 3STCh. 5.9 - Prob. 4STCh. 5.9 - Prob. 5STCh. 5.9 - Prob. 6STCh. 5.9 - Prob. 1ECh. 5.9 - Prob. 2ECh. 5.9 - Prob. 3ECh. 5.9 - Prob. 4ECh. 5.9 - Prob. 5ECh. 5.9 - Prob. 6ECh. 5.9 - Prob. 7ECh. 5 - Prob. 1CRCh. 5 - Prob. 2CRCh. 5 - Prob. 3CRCh. 5 - Prob. 4CRCh. 5 - Prob. 5CRCh. 5 - Prob. 6CRCh. 5 - Prob. 7CRCh. 5 - Prob. 8CRCh. 5 - Prob. 9CRCh. 5 - Prob. 10CRCh. 5 - Prob. 11CRCh. 5 - Prob. 12CRCh. 5 - Prob. 13CRCh. 5 - 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