84.5k views
1 vote
3. Show that the expression 3b - 4 + 6(b-9) is equivalent to the expression 9 (b-6) -4. Show your work. ANSWER ASAP PLZZ

1 Answer

3 votes

Answer:

To show that the expression 3b - 4 + 6(b - 9) is equivalent to the expression 9(b - 6) - 4, you can simplify each expression and demonstrate that they yield the same result. Here's the step-by-step work:

Expression 1: 3b - 4 + 6(b - 9)

1. Distribute 6 to the terms inside the parentheses:

3b - 4 + 6b - 54

2. Combine like terms:

(3b + 6b) - 4 - 54

9b - 4 - 54

3. Further simplify by subtracting 4 and 54 from 9b:

9b - 58

Expression 2: 9(b - 6) - 4

1. Distribute 9 to the terms inside the parentheses:

9b - 54 - 4

2. Combine like terms:

(9b - 4) - 54

Now, compare the two simplified expressions:

Expression 1: 9b - 58

Expression 2: (9b - 4) - 54

Expression 1 and Expression 2 are indeed equivalent because they both simplify to 9b - 58.

So, the expressions are equal, demonstrating their equivalence.

Explanation:

User Olpa
by
6.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.