Problem 22 - Introductory Algebra for College Students

Question

Simplify each rational expression. If the rational expression cannot be simplified, so state. $$\frac{9 x^{2}}{6 x}$$

Step-by-Step Solution

Answer

The simplified form of \( \frac{9x^{2}}{6x} \) is \( \frac{3x}{2} \).

Step 1: Identify common factors

Look at the numerator and the denominator and find common factors. Both \(9x^{2}\) and \(6x\) are divisible by \(3x\).

Step 2: Simplify by cancelling out common factors

Divide the numerator and the denominator by the common factor. This makes \(9x^{2}\) to be reduced to \(3x\) and \(6x\) to be reduced to \(2\). The simplified expression is \(\frac{3x}{2}\).