Home
Class 9
MATHS
(x^(2^(n-1))+y^(2^(n-1)))(x^(2^(n-1))-y^...

`(x^(2^(n-1))+y^(2^(n-1)))(x^(2^(n-1))-y^(2^(n-1)))=`

A

`x^(2n) - y^(2n)`

B

`x^(2^n) - y^(2^n)`

C

`x^(2^(n+1))-y^(2^(n+1))`

D

`x-y`

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LAWS OF INDICES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 6|67 Videos
  • HISTOGRAM AND FREQUENCY POLYGON

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-2|16 Videos
  • LINEAR EQUATIONS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 4.2|77 Videos

Similar Questions

Explore conceptually related problems

Prove that , (x^(n))/(n!)+(x^(n-1).a)/((n-1)!1!)+(x^(n-2).a^(2))/((n-2)!2!)+(x^(n-3).a^(3))/((n-3)!3!)+.......(a^(n))/(n!)=(x+a)^(n)/(n!)

(d^n)/(dx^n)(logx)=? (a) ((n-1)!)/(x^n) (b) (n !)/(x^n) (c) ((n-2)!)/(x^n) (d) (-1)^(n-1)((n-1)!)/(x^n)

Knowledge Check

  • (x^(2^n)-y^(2^n))/(x^(2^(n-1))+y^(2^(n-1)))=

    A
    `x^(2^n)+y^(2^n)`
    B
    `x^(2n) + y^(2n)`
    C
    `x^(2^(n-1))-y^(2^(n-1))`
    D
    `x^(2^(n-1))+y^(2^(n-1))`
  • Similar Questions

    Explore conceptually related problems

    Show : 2^(n)-(n)/(1!).2^(n-1)+(n(n-1))/(2!).2^(n-2)-....+(-1)^(n)=1

    Obtain the sum of (1)/(x+1)+(2)/(x^(2)+1)+(4)/(x^(4)+1)+...+ (2^(n))/(x^(2^(n))+1)

    If sqrt(1-x^(2n))+sqrt(1-y^(2n))=a^(n)(x^(n)-y^(n)) , prove that, (dy)/(dx)=((x)/(y))^(n-1).sqrt((1-y^(2n))/(1-x^(2n))

    If A_n is the area bounded by y=x and y=x^n ,n in \mathbb{N} ,then A_2 A_3 ... A_n= (a) 1/(n(n+1)) (b) 1/(2^n n(n+1)) (c) 1/(2^(n-1)n(n+1)) (d) 1/(2^(n-2)n(n+1))

    Find the coefficient of x^(r) in the following expression : (x+n)^(n)+(x+2)^(n-1)(x+1)+(x+2)^(n-2)(x+1)^(2)+.....+(x+1)^(n)

    The coefficient of 1//x in the expansion of (1+x)^n(1+1//x)^n is (a). (n !)/((n-1)!(n+1)!) (b). ((2n)!)/((n-1)!(n+1)!) (c). ((2n)!)/((2n-1)!(2n+1)!) (d). none of these

    If the arithmetic mean of x and y be (x^(n+1)+ y^(n+1))/(x^(n) + y^(n)) , then find n.