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What is the value of (56^2)?

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Answer and explanation

Correct answer: 3136

\(56^2\) means \(56\times56\). Using \((50+6)^2=50^2+2\times50\times6+6^2=2500+600+36=3136\), the correct value is 3136. An option such as 3126 results from an error in multiplication or addition. Exam tip: Use the identity \((a+b)^2\) to calculate squares quickly.

Related tags

ExponentsSquaresNumber SystemsAlgebraic IdentitiesMental Arithmetic

Frequently asked questions

What is the correct answer to this question?

3136

Why is this the correct answer?

\(56^2\) means \(56\times56\). Using \((50+6)^2=50^2+2\times50\times6+6^2=2500+600+36=3136\), the correct value is 3136. An option such as 3126 results from an error in multiplication or addition. Exam tip: Use the identity \((a+b)^2\) to calculate squares 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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