Answer:
Option A is correct.
\(-\frac{2}{3}x +\frac{2}{5}\)
Step-by-step explanation:
Given that: \(-2(\frac{1}{3}x-\frac{1}{5})\) .....[1]
The distributive property says that:
\(a\cdot (b+c) = a\cdot b + a\cdot c\)
Apply the distributive property in equation [1] we get;
\(-2 \cdot \frac{1}{3}x + 2 \cdot \frac{1}{5}\)
Simplify:
\(-\frac{2}{3}x +\frac{2}{5}\)
Therefore, the expression that shows the result of applying the distributive property to \(-2(\frac{1}{3}x-\frac{1}{5})\) is, \(-\frac{2}{3}x +\frac{2}{5}\)
