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What is the value of (18^2-7^2)?

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Answer and explanation

Correct answer: 275

Use the difference of squares identity: \(18^2-7^2=(18-7)(18+7)=11\times25=275\). Therefore, 275 is the correct answer. Getting 265 usually results from an error in subtraction. Exam tip: use \(a^2-b^2=(a-b)(a+b)\) to calculate such expressions quickly.

Related tags

ExponentsDifference Of SquaresNumber SystemsAlgebraic IdentitiesMental Calculation

Frequently asked questions

What is the correct answer to this question?

275

Why is this the correct answer?

Use the difference of squares identity: \(18^2-7^2=(18-7)(18+7)=11\times25=275\). Therefore, 275 is the correct answer. Getting 265 usually results from an error in subtraction. Exam tip: use \(a^2-b^2=(a-b)(a+b)\) to calculate such expressions quickly.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.

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