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Chapter 7: Problem 6

Find the least common denominator of the rational expressions. $$\frac{2}{x-5} \text { and } \frac{3}{x+7}$$

Short Answer

Expert verified
The least common denominator of the rational expressions \(\frac{2}{x-5}\) and \(\frac{3}{x+7}\) is \((x-5)*(x+7)\).

Step by step solution

01

Identify the Denominators

The denominators of the given rational expressions are \(x-5\) and \(x+7\).
02

Compute the Least Common Multiple

The LCM is obtained by multiplying the denominators as they are different from each other and don't have any factors in common. So, the LCM of \(x-5\) and \(x+7\) is \((x-5)*(x+7)\).
03

Write down the least common denominator

Hence, the least common denominator is \((x-5)*(x+7)\).

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Most popular questions from this chapter

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