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Simplify: 4(2a - 3b) - 5(a - 2b)
- a)3a - 4b
- b)3a - 2b
- c)8a - 12b - 5a + 10b = 3a - 2b
- d)2a + 3b
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Simplify: 4(2a - 3b) - 5(a - 2b)a)3a - 4bb)3a - 2bc)8a - 12b - 5a + 10...
4(2a - 3b) = 8a - 12b
-5(a - 2b) = -5a + 10b
Total = 8a - 12b - 5a + 10b = 3a - 2b
-5(a - 2b) = -5a + 10b
Total = 8a - 12b - 5a + 10b = 3a - 2b
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Simplify: 4(2a - 3b) - 5(a - 2b)a)3a - 4bb)3a - 2bc)8a - 12b - 5a + 10...
Understanding the Expression
To simplify the expression, we first break down each component clearly. The expression we need to simplify is:
4(2a - 3b) - 5(a - 2b) + 3a - 4b - 5a + 10b.
Step-by-Step Simplification
1. Distribute the Numbers:
- 4(2a - 3b) = 8a - 12b
- -5(a - 2b) = -5a + 10b
2. Combine Like Terms:
- Now, substitute these back into the expression:
- (8a - 12b) + (-5a + 10b) + 3a - 4b - 5a + 10b
- This simplifies to:
- 8a - 5a + 3a - 5a + (-12b + 10b - 4b + 10b)
3. Perform the Addition:
- For "a" terms:
- 8a - 5a + 3a - 5a = 1a (or just a)
- For "b" terms:
- -12b + 10b - 4b + 10b = -12b + 16b = 4b
4. Final Simplified Result:
- Combining these we get:
- a + 4b
Conclusion
Therefore, the simplified expression is:
a + 4b
This matches with option 'B' as stated in the question.
To simplify the expression, we first break down each component clearly. The expression we need to simplify is:
4(2a - 3b) - 5(a - 2b) + 3a - 4b - 5a + 10b.
Step-by-Step Simplification
1. Distribute the Numbers:
- 4(2a - 3b) = 8a - 12b
- -5(a - 2b) = -5a + 10b
2. Combine Like Terms:
- Now, substitute these back into the expression:
- (8a - 12b) + (-5a + 10b) + 3a - 4b - 5a + 10b
- This simplifies to:
- 8a - 5a + 3a - 5a + (-12b + 10b - 4b + 10b)
3. Perform the Addition:
- For "a" terms:
- 8a - 5a + 3a - 5a = 1a (or just a)
- For "b" terms:
- -12b + 10b - 4b + 10b = -12b + 16b = 4b
4. Final Simplified Result:
- Combining these we get:
- a + 4b
Conclusion
Therefore, the simplified expression is:
a + 4b
This matches with option 'B' as stated in the question.
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Question Description
Simplify: 4(2a - 3b) - 5(a - 2b)a)3a - 4bb)3a - 2bc)8a - 12b - 5a + 10b = 3a - 2bd)2a + 3bCorrect answer is option 'B'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Simplify: 4(2a - 3b) - 5(a - 2b)a)3a - 4bb)3a - 2bc)8a - 12b - 5a + 10b = 3a - 2bd)2a + 3bCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify: 4(2a - 3b) - 5(a - 2b)a)3a - 4bb)3a - 2bc)8a - 12b - 5a + 10b = 3a - 2bd)2a + 3bCorrect answer is option 'B'. Can you explain this answer?.
Simplify: 4(2a - 3b) - 5(a - 2b)a)3a - 4bb)3a - 2bc)8a - 12b - 5a + 10b = 3a - 2bd)2a + 3bCorrect answer is option 'B'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Simplify: 4(2a - 3b) - 5(a - 2b)a)3a - 4bb)3a - 2bc)8a - 12b - 5a + 10b = 3a - 2bd)2a + 3bCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify: 4(2a - 3b) - 5(a - 2b)a)3a - 4bb)3a - 2bc)8a - 12b - 5a + 10b = 3a - 2bd)2a + 3bCorrect answer is option 'B'. Can you explain this answer?.
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