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Find product using the identities for (2x+7y)(2x+7y)?
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Find product using the identities for (2x+7y)(2x+7y)?
Understanding the Expression
To find the product of (2x + 7y)(2x + 7y), we can use the identity for the square of a binomial. The identity states that (a + b)² = a² + 2ab + b². Here, a = 2x and b = 7y.
Applying the Identity
- Step 1: Identify a and b
- a = 2x
- b = 7y
- Step 2: Calculate a²
- a² = (2x)² = 4x²
- Step 3: Calculate 2ab
- 2ab = 2 * (2x) * (7y) = 28xy
- Step 4: Calculate b²
- b² = (7y)² = 49y²
Combining the Results
Now, we can combine all the results from the previous steps to form the final expression.
- Final Expression:
(2x + 7y)² = a² + 2ab + b²
= 4x² + 28xy + 49y²
Conclusion
Thus, the product of (2x + 7y)(2x + 7y) is:
- Final Answer: 4x² + 28xy + 49y²
This step-by-step approach simplifies the multiplication of the binomial and ensures an understanding of the underlying algebraic principles.
To find the product of (2x + 7y)(2x + 7y), we can use the identity for the square of a binomial. The identity states that (a + b)² = a² + 2ab + b². Here, a = 2x and b = 7y.
Applying the Identity
- Step 1: Identify a and b
- a = 2x
- b = 7y
- Step 2: Calculate a²
- a² = (2x)² = 4x²
- Step 3: Calculate 2ab
- 2ab = 2 * (2x) * (7y) = 28xy
- Step 4: Calculate b²
- b² = (7y)² = 49y²
Combining the Results
Now, we can combine all the results from the previous steps to form the final expression.
- Final Expression:
(2x + 7y)² = a² + 2ab + b²
= 4x² + 28xy + 49y²
Conclusion
Thus, the product of (2x + 7y)(2x + 7y) is:
- Final Answer: 4x² + 28xy + 49y²
This step-by-step approach simplifies the multiplication of the binomial and ensures an understanding of the underlying algebraic principles.
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Find product using the identities for (2x+7y)(2x+7y)?
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Find product using the identities for (2x+7y)(2x+7y)? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Find product using the identities for (2x+7y)(2x+7y)? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find product using the identities for (2x+7y)(2x+7y)?.
Find product using the identities for (2x+7y)(2x+7y)? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Find product using the identities for (2x+7y)(2x+7y)? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find product using the identities for (2x+7y)(2x+7y)?.
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