Question

algebra: concepts and connections - plc multiplying and dividing rational expressions which expression is equivalent to \\(\frac{2}{7k}(k - 7)\\)? assume \\(k\
eq0\\). options: \\(\frac{2}{7 - k}\\), \\(\frac{2k}{7}-7\\), \\(\frac{2k}{7k}-2k\\), \\(\frac{2}{7}-\frac{2}{k}\\)

Explanation:

Step1: Distribute the rational term

$\frac{2}{7k}(k - 7) = \frac{2}{7k} \cdot k - \frac{2}{7k} \cdot 7$

Step2: Simplify each product

$\frac{2k}{7k} - \frac{14}{7k} = \frac{2}{7} - \frac{2}{k}$

Answer:

$\frac{2}{7} - \frac{2}{k}$