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Chapter 7: Problem 32

Simplify each rational expression. If the rational expression cannot be simplified, so state. $$\frac{5 x-10}{x-2}$$

Short Answer

Expert verified
The simplified form of \(\frac{5 x-10}{x-2}\) is 5.

Step by step solution

01

Factor the Numerator and Denominator

Begin by factoring the numerator and the denominator of the rational expression. The expression becomes \(\frac{5(x-2)}{x-2}\).
02

Simplify

After factoring, it can be seen that both the numerator and denominator share a common factor of (\(x-2\)). Cancel out these common factors to simplify the expression. The expression simplifies to 5.

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