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If (a+b+c=10), what is the complete value of ( (a+b+c)^2 )?

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Answer and explanation

Correct answer: 100

Given \(a+b+c=10\), we get \((a+b+c)^2=10^2=100\). Option 10 is only the value of the sum, not its square. Exam tip: when a power is outside brackets, substitute the bracket's value first and then apply the power.

Related tags

Algebraic IdentitiesSquare Of A SumSubstitutionExponentsNumerical Evaluation

Frequently asked questions

What is the correct answer to this question?

100

Why is this the correct answer?

Given \(a+b+c=10\), we get \((a+b+c)^2=10^2=100\). Option 10 is only the value of the sum, not its square. Exam tip: when a power is outside brackets, substitute the bracket's value first and then apply the power.

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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