Class 8 Exam > Class 8 Questions > Simplify: 9(y - 3) + 6(y + 2)a)15y - 15b)15y ... Start Learning for Free
Simplify: 9(y - 3) + 6(y + 2)
- a)15y - 15
- b)15y + 3
- c)15y + 30
- d)3y - 15
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Simplify: 9(y - 3) + 6(y + 2)a)15y - 15b)15y + 3c)15y + 30d)3y - 15Cor...
9(y - 3) = 9y - 27
6(y + 2) = 6y + 12
Total = 9y - 27 + 6y + 12 = 15y - 15
6(y + 2) = 6y + 12
Total = 9y - 27 + 6y + 12 = 15y - 15
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Simplify: 9(y - 3) + 6(y + 2)a)15y - 15b)15y + 3c)15y + 30d)3y - 15Cor...
Step 1: Distribute the Terms
To simplify the expression 9(y - 3) + 6(y + 2), we start by distributing the constants 9 and 6 into their respective parentheses.
- 9(y - 3) becomes:
- 9y - 27
- 6(y + 2) becomes:
- 6y + 12
Now, the expression is:
9y - 27 + 6y + 12
Step 2: Combine Like Terms
Next, we combine like terms. The like terms here are the terms with 'y' and the constant terms.
- Combine the y terms:
- 9y + 6y = 15y
- Combine the constant terms:
- -27 + 12 = -15
So, after combining, we have:
15y - 15
Step 3: Final Expression
The final simplified expression is:
15y - 15
Thus, the correct answer is option 'A': 15y - 15.
Summary of Steps:
- Distribute constants to terms in parentheses.
- Combine like terms.
- Arrive at the simplified expression: 15y - 15.
This process clearly shows how we arrived at the final answer!
To simplify the expression 9(y - 3) + 6(y + 2), we start by distributing the constants 9 and 6 into their respective parentheses.
- 9(y - 3) becomes:
- 9y - 27
- 6(y + 2) becomes:
- 6y + 12
Now, the expression is:
9y - 27 + 6y + 12
Step 2: Combine Like Terms
Next, we combine like terms. The like terms here are the terms with 'y' and the constant terms.
- Combine the y terms:
- 9y + 6y = 15y
- Combine the constant terms:
- -27 + 12 = -15
So, after combining, we have:
15y - 15
Step 3: Final Expression
The final simplified expression is:
15y - 15
Thus, the correct answer is option 'A': 15y - 15.
Summary of Steps:
- Distribute constants to terms in parentheses.
- Combine like terms.
- Arrive at the simplified expression: 15y - 15.
This process clearly shows how we arrived at the final answer!
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