If `x^n+1` is divisible by `x+1,n` must be

Show that x^n-1 is divisible by x-1

If y^(n) -1 is divisible by y+ a for all values of n in N , then a must by

If 5x^(3) +Mx+ N, M,N in R is divisible by x^(2) + x+1 , then the value of M +N is

Statement 1: 3^(2n+2)-8n-9 is divisible by 64 ,AAn in Ndot Statement 2: (1+x)^n-n x-1 is divisible by x^2,AAn in Ndot

Statement 1: 3^(2n+2)-8n-9 is divisible by 64 ,AAn in Ndot Statement 2: (1+x)^n-n x-1 is divisible by x^2,AAn in Ndot

Show that (1+x)^(n) - nx-1 is divisible by x^(2) for n gt N

Show that (1+x)^(n) - nx-1 is divisible by x^(2) for n gt N