Question

Which expression shows the result of applying the distributive property to 14(−3n+32)14(−3n+32) ?

−34n−38−34n−38

34n+3834n+38

−34n+38−34n+38

34n−38

Answer 1

34n+3834n+38
that's the one I think

Answer 2

C.

Explanation:

The right question is

Which expression shows the result of applying the distributive property to 1/4(−3n+3/2) ?

A.3/4n−3/8

B.3/4n+3/8

C.−3/4n+38

D. −3/4n−3/8

The given expression is

`(1)/(4)(-3n+(3)/(2))`

To apply the distributive property, we just have to "distribute" the factor
`(1)/(4)` to each term inside of the parenthesis, as follows

`(1)/(4)(-3n+(3)/(2))=(1)/(4)(-3n)+(1)/(4)((3)/(2))\\-(3)/(4)n+(3)/(8)`

(Remember that when we multiply fractions, we do it linear, that is, numerator multiplies numerator and denominator multiplies denominator)

Therefore, the equivalent expression is

`-(3)/(4)n+(3)/(8)`

So, the answer is C.