Question

instructions: simplify the following expressions by factoring or distributing, then simplify completely.

1. 12(12 + 11s)

answer ______

1. 40 + 25x

answer ______

Explanation:

Step1: Distribute 12 to terms inside parentheses

$12(12 + 11s) = 12\times12 + 12\times11s$

Step2: Calculate each product

$144 + 132s$

Step3: Factor out GCF from $40+25x$

Find GCF of 40 and 25: $5$
$40 + 25x = 5\times8 + 5\times5x$

Step4: Rewrite as factored expression

$5(8 + 5x)$

Answer:

1. $144 + 132s$
2. $5(8 + 5x)$