Question

use the distributive property to simplify each expression.
17 ( 4(x + 3) )

1. ( 5(3x - 6) )
2. ( -2(7x + 8) )

Explanation:

Step1: Distribute 4 to terms inside parentheses

$4(x + 3) = 4 \cdot x + 4 \cdot 3$

Step2: Calculate the products

$4x + 12$

Step1: Distribute 5 to terms inside parentheses

$5(3x - 6) = 5 \cdot 3x - 5 \cdot 6$

Step2: Calculate the products

$15x - 30$

Step1: Distribute -2 to terms inside parentheses

$-2(7x + 8) = -2 \cdot 7x + (-2) \cdot 8$

Step2: Calculate the products

$-14x - 16$

Answer:

$4x + 12$
$15x - 30$
$-14x - 16$