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Simplify of the following 12 a to the power of 2 b + 3b a to the to the power of 2?
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Simplify of the following 12 a to the power of 2 b + 3b a to the to th...
Understanding the Expression
To simplify the expression "12a²b + 3ba²", we need to combine like terms where possible.
Identifying Like Terms
- Both terms in the expression have a common factor.
- The common factor is "3ab".
Factoring Out the Common Factor
1. Break down each term:
- The first term is 12a²b, which can be factored as 3ab * 4a.
- The second term is 3ba², which is already in the form of 3ab * a.
2. Combine the terms:
- Now, we can rewrite the expression as:
3ab(4a + a)
Simplifying the Expression
- Add the terms inside the parentheses:
4a + a = 5a
- Thus, the expression becomes:
3ab(5a)
Final Simplified Expression
- The final simplified expression is:
15a²b
Conclusion
- The simplified form of the expression 12a²b + 3ba² is 15a²b.
- Understanding how to factor out common terms is crucial in simplifying algebraic expressions, especially in Class 7 mathematics.
To simplify the expression "12a²b + 3ba²", we need to combine like terms where possible.
Identifying Like Terms
- Both terms in the expression have a common factor.
- The common factor is "3ab".
Factoring Out the Common Factor
1. Break down each term:
- The first term is 12a²b, which can be factored as 3ab * 4a.
- The second term is 3ba², which is already in the form of 3ab * a.
2. Combine the terms:
- Now, we can rewrite the expression as:
3ab(4a + a)
Simplifying the Expression
- Add the terms inside the parentheses:
4a + a = 5a
- Thus, the expression becomes:
3ab(5a)
Final Simplified Expression
- The final simplified expression is:
15a²b
Conclusion
- The simplified form of the expression 12a²b + 3ba² is 15a²b.
- Understanding how to factor out common terms is crucial in simplifying algebraic expressions, especially in Class 7 mathematics.
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Simplify of the following 12 a to the power of 2 b + 3b a to the to the power of 2?
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Simplify of the following 12 a to the power of 2 b + 3b a to the to the power of 2? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Simplify of the following 12 a to the power of 2 b + 3b a to the to the power of 2? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify of the following 12 a to the power of 2 b + 3b a to the to the power of 2?.
Simplify of the following 12 a to the power of 2 b + 3b a to the to the power of 2? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Simplify of the following 12 a to the power of 2 b + 3b a to the to the power of 2? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify of the following 12 a to the power of 2 b + 3b a to the to the power of 2?.
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