Question

Rewrite the product using the Distributive Property. Then simplify.

1) 2(4 + 7)
2) 3(1/3 - p)

Answer 1

`2(4 + 7) = 22`

`3((1)/(3) - p) = 1 - 3 p`

Explanation:

Given

1 & 2

Required

Rewrite and simplify

`1.\ 2(4 + 7)`

Apply distributive property

`2(4 + 7) = 2 * 4 + 2 * 7`

`2(4 + 7) = 8 + 14`

`2(4 + 7) = 22`

`2.\ 3((1)/(3) - p)`

Apply distributive property

`3((1)/(3) - p) = 3*(1)/(3) - 3 * p`

`3((1)/(3) - p) = (3)/(3) - 3 * p`

`3((1)/(3) - p) = 1 - 3 * p`

`3((1)/(3) - p) = 1 - 3 p`