Note: enter your answer and show all the steps that you use to solve this problem. 1. Simplify the expression and explain each step.
4. (3x +2)-2
2. Factor the expression completely.
20b-16
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1. Simplify the expression (3x + 2) - 2:
Step 1: Distribute the negative sign to both terms inside the parentheses:
-2 * 3x = -6x
-2 * 2 = -4
The expression becomes: 3x + 2 - 6x - 4
Step 2: Combine like terms:
(3x - 6x) + (2 - 4) = -3x - 2
So, the simplified expression is -3x - 2.
2. Factor the expression 20b - 16:
Step 1: Identify the greatest common factor (GCF) of both terms. In this case, the GCF of 20b and 16 is 4:
20b = 4 * 5 * b
16 = 4 * 4
Step 2: Rewrite the expression using the GCF:
20b - 16 = 4 * 5 * b - 4 * 4
Step 3: Factor the GCF out of each term:
4 * (5b - 4)
So, the completely factored expression is 4(5b - 4).