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If \(x+\frac{1}{x}=7\), what is the value of \(x^3+\frac{1}{x^3}\)?
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Answer and explanation
Correct answer: (322)
Use \(a^3+b^3=(a+b)^3-3ab(a+b)\) where \(ab=1\). Exam tip: remember \(7^3-3\times7=322\).
Frequently asked questions
What is the correct answer to this question?
(322)
Why is this the correct answer?
Use \(a^3+b^3=(a+b)^3-3ab(a+b)\) where \(ab=1\). Exam tip: remember \(7^3-3\times7=322\).
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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