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Expand of the expression : (x/3+1/x)^5...

Expand of the expression : `(x/3+1/x)^5`

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To expand the expression \((\frac{x}{3} + \frac{1}{x})^5\) using the Binomial Theorem, we can follow these steps: ### Step 1: Identify \(a\), \(b\), and \(n\) In the expression \((\frac{x}{3} + \frac{1}{x})^5\), we can identify: - \(a = \frac{x}{3}\) - \(b = \frac{1}{x}\) - \(n = 5\) ...
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Knowledge Check

  • If x = 5, then the value of the expression x ^(2) - 2 + (1)/(x ^(2)) is :

    A
    `(24)/(5)`
    B
    `(625)/(24)`
    C
    `(576)/(25)`
    D
    `(24)/(25)`

  • The minimum value of the expression 3^(x) + 3^(1-x), x in R , is

    A
    0
    B
    `(1)/(3)`
    C
    3
    D
    `2sqrt(3)`