What is the value of (18^2-17^2)?
Answer and explanation
Correct answer: 35
Calculate the squares first: \(18^2=324\) and \(17^2=289\). Therefore, \(18^2-17^2=324-289=35\). It can also be solved using the identity \(a^2-b^2=(a-b)(a+b)\): \((18-17)(18+17)=1\times35=35\). In exams, use the difference-of-squares identity to avoid calculating large squares directly.
Frequently asked questions
What is the correct answer to this question?
35
Why is this the correct answer?
Calculate the squares first: \(18^2=324\) and \(17^2=289\). Therefore, \(18^2-17^2=324-289=35\). It can also be solved using the identity \(a^2-b^2=(a-b)(a+b)\): \((18-17)(18+17)=1\times35=35\). In exams, use the difference-of-squares identity to avoid calculating large squares directly.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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