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If (a+b+c=9) and (ab+bc+ca=20), what is (a^2+b^2+c^2)?

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Answer and explanation

Correct answer: (41)

(a^2+b^2+c^2=(a+b+c)^2-2(ab+bc+ca)=81-40=41). Exam tip: directly use the square identity of three terms.

Related tags

Three Term SquareGiven ValuesSum Of Squares

Frequently asked questions

What is the correct answer to this question?

(41)

Why is this the correct answer?

(a^2+b^2+c^2=(a+b+c)^2-2(ab+bc+ca)=81-40=41). Exam tip: directly use the square identity of three terms.

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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