Question

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

Answer 1

-42n + 448

Explanation:

14(−3n+32)

14(-3n) + 14(32)

-42n + 448

Answer 2

Question:

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 + 3/8 D. −3/4n − 3/8

Answer:

Option C

The result of applying distributive property is
`(-3n)/(4) + (3)/(8)`

Solution:

Given expression is:

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

Let us understand about distributive property

The distributive property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together.

The distributive property says that:

`a.(b+c)=a.b+a.c`

Apply distributive property on given expression,

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

Thus the result is obtained