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What is the value of \(104^2\)?

Answer and explanation

Correct answer: 10816

\(104^2=(100+4)^2=100^2+2(100)(4)+4^2=10000+800+16=10816\). Therefore, the correct answer is 10816. The nearby distractor 10840 is incorrect because the sum of the middle term 800 and the last term 16 is 816, not 840. Exam tip: Always include the middle term \(2ab\) when using \((a+b)^2=a^2+2ab+b^2\).

Related tags

PolynomialsAlgebraic IdentitiesSquare Of A NumberLaws Of ExponentsReal NumbersOperations On Real Numbers And The Laws Of ExponentsMathematicsClass 10 Mcq

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