Holt Mcdougal Larson Algebra 2: Student Edition 2012
Holt Mcdougal Larson Algebra 2: Student Edition 2012
1st Edition
ISBN: 9780547647159
Author: HOLT MCDOUGAL
Publisher: HOLT MCDOUGAL
Expert Solution & Answer
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Chapter SR12, Problem 1P
Solution

The least common denominator of the rational expressions 12ab and 4a2 .

  2a2b

Given:

The rational expressions, 12ab and 4a2 .

Concept Used:

  • The opposite operation of addition is subtraction and the opposite operation of subtraction is addition.
  • The opposite operation of multiplication is division and the opposite operation of division is multiplication.
  • Least Common Denominator (LCD) is the smallest number that is divisible by the denominator of all the fractions that are added or subtracted.

Calculation:

In order to find the least common denominator (LCD) for the given rational expressions, find the factors of both denominators and find the product of all the distinct factors and common factors as shown below

  Factors of denominaotrs: 2ab=2aba2=aaProduct of factors=2aab=2a2b

Thus, the least common denominator of the rational expressions is 2a2b .

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