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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 \((\frac{x}{3} + \frac{1}{x})^5\): - \(a = \frac{x}{3}\) - \(b = \frac{1}{x}\) - \(n = 5\) ...
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Knowledge Check

  • Given that 2 x + 7 is a factor of the expression 2 x^(3) + 5 x^(2) - 11 x - 14 . The other factors of the expression are

    A
    (x+1),(x+2)
    B
    (x+1),(x-2)
    C
    (x-1),(x+1)
    D
    (x-1),(x-2)

  • The value of the expression (5)/(3)x^(3)+1 when x=-2 is

    A
    `-(37)/(3)`
    B
    `-(7)/(3)`
    C
    `(20)/(3)`
    D
    `(23)/(3)`

  • For which values of x in the expression (3x+6)/(3x(4x+8)(x-5)) undefined?

    A
    `-2`
    B
    `-2, 5`
    C
    `0, -2, 5`
    D
    `0, 2, -5`

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    Find the term independent o f x in the expansion of the following expressions: (1/2 x^(1/3)+x^(-1/5))^8

    When x=5 and y=2 , the expression (xy)/(70)+(9)/(5(x+y))+(1)/(x+y)=?

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