Question

Use the expression below.

-4b + 8c + 12 - 8b - 2c + 6
Part A
Simplify the expression.

Part B
Factor the simplified expression using
the GCF.

Part C
What is the value of the expression
when b = 2 and c = -3?

Answer 1

Part A) − 12 b + 6 c + 18

Part B) -2b + 1c + 3

Part C) -4

Explanation:

Part A)

Step 1:

-4b + -8b = -12b

Step 2:

8c + 2c = 6c

Step 3:

12 + 6 = 18

Answer: − 12 b + 6 c + 18

Part B)

GCF = 6

Step 1:

-12 divided by 6 = -2b

Step 2:

6 divided by 6 = 1c

Step 3:

18 divide by 6 = 3

Answer: -2b + 1c + 3

Part C)

Step 1: Subsitute 2 for b and 3 for c

(− 2 x 2 ) + (1 x -3) + 3

Step 2: Multiply (− 2 x 2 ) + (1 x -3) + 3

-4 + (-3) + 3

Step 2: Add -4 + (-3) + 3

-7 + 3 = -4

Answer: -4