Question

Which expression shows the result of applying the distributive property to −2(13x−15)−2(13x−15) ?

−23x+25−23x+25

23x−2523x−25

−23x−25−23x−25

23x+25

Answer 1

Option A is correct.

`-(2)/(3)x +(2)/(5)`

Explanation:

Given that:
`-2((1)/(3)x-(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 (1)/(3)x + 2 \cdot (1)/(5)`

Simplify:

`-(2)/(3)x +(2)/(5)`

Therefore, the expression that shows the result of applying the distributive property to
`-2((1)/(3)x-(1)/(5))` is,
`-(2)/(3)x +(2)/(5)`