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  • Sum of series:
  • (2/5)^n (2/5)^n
  • sqrt(x^n+y^n)^2-(32^(1/3*n)*x*y)^n
  • sin(x(2k-1))
  • 1/(n((ln*n)^2)) 1/(n((ln*n)^2))

  • Identical expressions

  • sqrt(x^n+y^n)^ two -(thirty-two ^(one / three *n)*x*y)^n
  • square root of (x to the power of n plus y to the power of n) squared minus (32 to the power of (1 divide by 3 multiply by n) multiply by x multiply by y) to the power of n
  • square root of (x to the power of n plus y to the power of n) to the power of two minus (thirty minus two to the power of (one divide by three multiply by n) multiply by x multiply by y) to the power of n
  • √(x^n+y^n)^2-(32^(1/3*n)*x*y)^n
  • sqrt(xn+yn)2-(32(1/3*n)*x*y)n
  • sqrtxn+yn2-321/3*n*x*yn
  • sqrt(x^n+y^n)²-(32^(1/3*n)*x*y)^n
  • sqrt(x to the power of n+y to the power of n) to the power of 2-(32 to the power of (1/3*n)*x*y) to the power of n
  • sqrt(x^n+y^n)^2-(32^(1/3n)xy)^n
  • sqrt(xn+yn)2-(32(1/3n)xy)n
  • sqrtxn+yn2-321/3nxyn
  • sqrtx^n+y^n^2-32^1/3nxy^n
  • sqrt(x^n+y^n)^2-(32^(1 divide by 3*n)*x*y)^n

  • Similar expressions

  • sqrt(x^n+y^n)^2+(32^(1/3*n)*x*y)^n
  • sqrt(x^n-y^n)^2-(32^(1/3*n)*x*y)^n
Sum of series/ sqrt(x^n+y^n)^2-(32^(1/3*n)*x*y)^n

Sum of series sqrt(x^n+y^n)^2-(32^(1/3*n)*x*y)^n


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The solution

You have entered [src] 
  oo                              
____                              
\   `                             
 \    /                         n\
  \   |            2   /  n    \ |
   )  |   _________    |  -    | |
  /   |  /  n    n     |  3    | |
 /    \\/  x  + y    - \32 *x*y/ /
/___,                             
n = 1
$$\sum_{n=1}^{\infty} \left(- \left(y 32^{\frac{n}{3}} x\right)^{n} + \left(\sqrt{x^{n} + y^{n}}\right)^{2}\right)$$ 
Sum((sqrt(x^n + y^n))^2 - ((32^(n/3)*x)*y)^n, (n, 1, oo))
The answer [src] 
  oo                        
____                        
\   `                       
 \    /                   n\
  \   |          /      n\ |
   )  |          |      -| |
  /   | n    n   |      3| |
 /    \x  + y  - \x*y*32 / /
/___,                       
n = 1
$$\sum_{n=1}^{\infty} \left(x^{n} + y^{n} - \left(32^{\frac{n}{3}} x y\right)^{n}\right)$$ 
Sum(x^n + y^n - (x*y*32^(n/3))^n, (n, 1, oo))

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