Problem 32

Question

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

Step-by-Step Solution

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Answer

The simplified form of $\frac{5 x-10}{x-2}$ is 5.

1Step 1: Factor the Numerator and Denominator

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

2Step 2: 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.

Problem 32

Other exercises in this chapter

Problem 32

Add or subtract as indicated. Simplify the result, if possible. $$\frac{3}{x-2}+\frac{4}{x+3}$$

Simplify complex rational expression by the method of your choice. $\frac{3+\frac{12}{y}}{1-\frac{16}{y^{2}}}$

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Problem 32

Multiply as indicated.$ $$\frac{x^{2}-y^{2}}{x+y} \cdot \frac{x+2 y}{2 x^{2}-x y-y^{2}}$$

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