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Which of the following is the correct factorised form of \(a^3+b^3+c^3-3abc\)?
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Answer and explanation
Correct answer: \((a+b+c)(a^2+b^2+c^2-ab-bc-ca)\)
The identity is \(a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)\), so A is correct. In B, the signs of the mixed terms are wrong. Exam tip: first check the factor \(a+b+c\).
Frequently asked questions
What is the correct answer to this question?
\((a+b+c)(a^2+b^2+c^2-ab-bc-ca)\)
Why is this the correct answer?
The identity is \(a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)\), so A is correct. In B, the signs of the mixed terms are wrong. Exam tip: first check the factor \(a+b+c\).
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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