What is the correct value of ( 54^2-46^2 )?
Answer and explanation
Correct answer: 800
Use the identity \(a^2-b^2=(a+b)(a-b)\). Thus, \(54^2-46^2=(54+46)(54-46)=100\times8=800\). Therefore, the correct answer is 800. A value such as 900 can result from an error in finding the difference or multiplying. Exam tip: for a difference of squares, find the sum and the difference first to simplify the calculation.
Frequently asked questions
What is the correct answer to this question?
800
Why is this the correct answer?
Use the identity \(a^2-b^2=(a+b)(a-b)\). Thus, \(54^2-46^2=(54+46)(54-46)=100\times8=800\). Therefore, the correct answer is 800. A value such as 900 can result from an error in finding the difference or multiplying. Exam tip: for a difference of squares, find the sum and the difference first to simplify the calculation.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Algebraic identities.
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