Show that 2.6.10.14.. To n factors `=(n+1)(n+2)(n+3)` … to n factors.

Show that 2.6.10……. to n factors =((2n)!)/(n!)

Show that (x-1) is a factor of x ^(n)-1.

Show that (x-1) is a factor of x ^(n)-1.

Show that (x-1) is a factor of x ^(n)-1.

Show that (x-1) is a factor of x ^(n)-1.

Show that (x-1) is a factor of x ^(n)-1.

Show that if n be odd, x + 1 is a factor of x^n + 1 .

the continued product 2.6.10.14... to n factors is equal to 2np_(n)(b)^(2n)C_(n)(n+1)(n+2)(n+3)...(n+n)2^(n)*(1.3.5......2n-1)

Factor n^(2)-5n-14 .

Prove that t^(2) + 3t + 3 is a factor of ( t+1)^(n+1) + (t+2)^(2n -1) for all intergral values of n in N.