Question

use the distributive property to rewrite each expression.

1. $-8(a + b) =$
2. $(2b + 8)5 =$
3. $(p + 7)(-2) =$

Explanation:

Problem 29:

Step1: Recall the distributive property: $c(a + b)=ca+cb$

Here, $c = -8$, $a=a$, $b = b$.

Step2: Apply the distributive property

$-8(a + b)=-8\times a+(-8)\times b=-8a-8b$

Step1: Recall the distributive property: $(a + b)c=ac+bc$

Here, $a = 2b$, $b = 8$, $c = 5$.

Step2: Apply the distributive property

$(2b + 8)\times5=2b\times5+8\times5 = 10b+40$

Step1: Recall the distributive property: $(a + b)c=ac+bc$

Here, $a = p$, $b = 7$, $c=-2$.

Step2: Apply the distributive property

$(p + 7)\times(-2)=p\times(-2)+7\times(-2)=-2p-14$

Answer:

$-8a - 8b$

Problem 30: