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Using this identity, (a-b) (a+b) = a^2 - b^2
solve:
50.7 x 49.3?
solve:
50.7 x 49.3?
Most Upvoted Answer
Using this identity, (a-b) (a+b) = a^2 - b^2solve:50.7 x 49.3?
Understanding the Identity
The identity (a-b)(a+b) = a² - b² is a fundamental algebraic rule that allows us to simplify expressions involving the difference and sum of two numbers. This identity can be particularly useful in calculations.
Applying the Identity
To solve 50.7 x 49.3 using the identity, we can set:
- a = 50
- b = 0.7
Now, we can express 50.7 and 49.3 in terms of a and b:
- 50.7 = a + b
- 49.3 = a - b
Using the identity:
- (a - b)(a + b) = a² - b²
This translates to:
- (50 - 0.7)(50 + 0.7)
Calculating Each Part
Now calculate:
- a² = 50² = 2500
- b² = 0.7² = 0.49
Now substitute back into the identity:
- 50.7 x 49.3 = 2500 - 0.49
Final Calculation
Now perform the final subtraction:
- 2500 - 0.49 = 2499.51
Conclusion
Thus, the product of 50.7 and 49.3 is:
- 2499.51
Using the identity simplifies the multiplication process, making calculations easier and faster!
The identity (a-b)(a+b) = a² - b² is a fundamental algebraic rule that allows us to simplify expressions involving the difference and sum of two numbers. This identity can be particularly useful in calculations.
Applying the Identity
To solve 50.7 x 49.3 using the identity, we can set:
- a = 50
- b = 0.7
Now, we can express 50.7 and 49.3 in terms of a and b:
- 50.7 = a + b
- 49.3 = a - b
Using the identity:
- (a - b)(a + b) = a² - b²
This translates to:
- (50 - 0.7)(50 + 0.7)
Calculating Each Part
Now calculate:
- a² = 50² = 2500
- b² = 0.7² = 0.49
Now substitute back into the identity:
- 50.7 x 49.3 = 2500 - 0.49
Final Calculation
Now perform the final subtraction:
- 2500 - 0.49 = 2499.51
Conclusion
Thus, the product of 50.7 and 49.3 is:
- 2499.51
Using the identity simplifies the multiplication process, making calculations easier and faster!
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Using this identity, (a-b) (a+b) = a^2 - b^2solve:50.7 x 49.3?
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Using this identity, (a-b) (a+b) = a^2 - b^2solve:50.7 x 49.3? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Using this identity, (a-b) (a+b) = a^2 - b^2solve:50.7 x 49.3? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Using this identity, (a-b) (a+b) = a^2 - b^2solve:50.7 x 49.3?.
Using this identity, (a-b) (a+b) = a^2 - b^2solve:50.7 x 49.3? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Using this identity, (a-b) (a+b) = a^2 - b^2solve:50.7 x 49.3? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Using this identity, (a-b) (a+b) = a^2 - b^2solve:50.7 x 49.3?.
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