In Exercises 23 to 24, fill in the missing reasons for the algebraic proof.
Given: 

Prove: 

PROOF  
Statements  Reasons 
1.

1. ? 
2.

2. ? 
3.

3. ? 
4.

4. ? 
To find:
The missing reasons for the algebraic proof.
Given:
The given table is shown below.
PROOF  
Statements  Reasons 
1. 
1. ? 
2. 
2. ? 
3. 
3. ? 
4. 
4. ? 
Approach:
1. The Distributive Property of Equality is,
2. The Additive Property of Equality states that if same number is added to both sides of the equation then the sides of the equation remains equal.
3. The Division Property of Equality states that if both sides of an equation are divided by the same nonzero number then the sides of the equation remains equal.
Calculation:
The first statement of the proof is given below.
The first statement is same as the given equation. So, the reason for the first statement is given.
Now, go from the first statement to the second statement.
Rewrite the difference inside the parenthesis as a sum.
Use Distributive Property of Equality.
Therefore, the reason for second statement is Distributive Property of Equality.
Now go from the second statement to third statement.
Use Addition Property of Equality and add
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