Question

question 22 of 42
what is the difference of the rational expressions below?
\\(\frac{4x}{9} - \frac{2x}{9}\\)
a. \\(\frac{9x}{2}\\)
b. \\(\frac{2x}{9}\\)
c. \\(\frac{8x}{9}\\)
d. \\(\frac{6x}{9}\\)

Explanation:

Step1: Identify the rule for subtracting rational expressions with the same denominator.

When subtracting two rational expressions with the same denominator, we subtract the numerators and keep the denominator the same. The formula is $\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}$, where $c
eq0$.

Step2: Apply the rule to the given expressions.

For $\frac{4x}{9} - \frac{2x}{9}$, we subtract the numerators $4x$ and $2x$: $4x - 2x = 2x$. The denominator remains $9$. So the result is $\frac{2x}{9}$.

Answer:

B. $\frac{2x}{9}$