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If a be sum of the odd numbered terms a...

If a be sum of the odd numbered terms and b the sum of even numbered terms of the expansion `(1+x)^(n)`,`n` `epsilon` `N` `then` `(1-x^(2))^(n)` is equal to

A

`a^(2)-b^(2)`

B

`a^(2)+b^(2)`

C

`b^(2)-a^(2)`

D

`a+b`

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Knowledge Check

  • Find the number of terms in the expansion of (1+x)^(n) .

    A
    `n-1`
    B
    `n`
    C
    `n+1`
    D
    `(n+1)/(2)`

  • If the sum of odd numbered terms and the sum of even numbered terms in the expansion of (x + a)^n are A and B respectively, then the value of ( x^2 – a^2)^n is

    A
    `A^2 - B^2`
    B
    `A^2 + B^2`
    C
    `4AB`
    D
    None

  • What is the number of terms in the expansion of ( a+ b + c)^(n) , n in N ?

    A
    `n+1`
    B
    `n+2`
    C
    `n ( n +1)`
    D
    `((n+1) ( n +2))/( 2)`

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