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
Option C
The result of applying distributive property is [tex]\frac{-3n}{4} + \frac{3}{8}[/tex]
Given expression is:
[tex]\frac{1}{4}(-3n + \frac{3}{2})[/tex]
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:
[tex]a.(b+c)=a.b+a.c[/tex]
Apply distributive property on given expression,
[tex]\frac{1}{4}(-3n + \frac{3}{2}) = \frac{1}{4} \times (-3n) + \frac{1}{4} \times \frac{3}{2}\\\\\frac{1}{4}(-3n + \frac{3}{2}) = \frac{-3n}{4} + \frac{3}{8}[/tex]
Thus the result is obtained
Answer:
-42n + 448
Step-by-step explanation:
14(−3n+32)
14(-3n) + 14(32)
-42n + 448
