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