Question

What is Which equation correctly demonstrates the Distributive Property? F. $a\left(b+c\right)=ab+c$ G. $a\left(b+c\right)=ab+ac$ H. $a+\left(b+c\right)=\left(a+b\right)+\left(a+c\right)$ I. $a+\left(b+c\right)=\left(a+b\right)\cdot\left(a+c\right)$

Answer 1

`G.\ $a\left(b+c\right)=ab+ac$`

Explanation:

Given

`F.\ $a\left(b+c\right)=ab+c$`

`G.\ $a\left(b+c\right)=ab+ac$`

`H.\ $a+\left(b+c\right)=\left(a+b\right)+\left(a+c\right)$`

`I.\ $a+\left(b+c\right)=\left(a+b\right)\cdot\left(a+c\right)$`

Required

Which of the options shows Distributive Property

Distributive property states that

For:
`a(b + c)`

The equivalent is:
`ab + ac`

In other words:

`a(b + c) = ab + ac` ----- (1)

Having mentioned that;

Next, we compare the list of given options to (1) above

Option G matches (1).

`G.\ $a\left(b+c\right)=ab+ac$`

Hence, option G correctly demonstrates distributive property