Question

use the distributive property to write the following expressions in expanded form.

1. $2(b + c)$
2. $5(7h + 3m)$
3. $e(f + g)$

Explanation:

Step1: Apply distributive property

$2(b + c) = 2 \cdot b + 2 \cdot c$

Step2: Simplify the expression

$2(b + c) = 2b + 2c$

Step1: Apply distributive property

$5(7h + 3m) = 5 \cdot 7h + 5 \cdot 3m$

Step2: Calculate coefficients

$5(7h + 3m) = 35h + 15m$

Step1: Apply distributive property

$e(f + g) = e \cdot f + e \cdot g$

Step2: Simplify the expression

$e(f + g) = ef + eg$

Answer:

1. $2b + 2c$
2. $35h + 15m$
3. $ef + eg$