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Maths CBSE Live product
Class 9 (2026-27)
Exploring Algebraic Identities
Algebraic Identities
10.
Find the value of the given expression
Question:
5
m.
If \(x - \frac{1}{x} = 7\), then find the value of \(x^2 + \frac{1}{x^2}\).
Ans
:
\(x^2 + \frac{1}{x^2}\) \(=\)
Identity used:
(a - b)² = a² - 2ab + b²
a² - b² = (a - b)(a + b)
(a + b)² = a² + 2ab + b²
(a + b)³ = a³ + 3a²b + 3ab² + b³
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