Home
Class 12
MATHS
If and b are distinct integers, prove th...

If and b are distinct integers, prove that `a - b`is a factor of `a^n-b^n`, whenever n is a positive integer.

Promotional Banner

Similar Questions

Explore conceptually related problems

If a and b are distinct integers,prove that a-b is a factor of a^(n)-b^(n), wherever n is a positive integer.

If a and b are distinct integers then prove that (a-b) is a factor of (a^(n)-b^(n)) , whenever n is a positive integar.

If and b are distinct integers,prove that a-b is a factor of whenever n is a positive integer.

If a and b are distinct integers,prove that a^(n)-b^(n) is divisible by (a-b) where n in N

Use factor theorem to prove that (x+a) is a factor of (x^(n)+a^(n)) for any odd positive integer n .

Use factor theorem to verify that x+a is a factor of x^(n)+a^(n) for any odd positive integer.

Use factor theorem to verify that y+a is factor of y^(n)+a^(n) for any odd positive integer n .

Which is not the factor of 4^(6n)-6^(4n) for any positive integer n?

Prove that 2^(n)>1+n sqrt(2^(n-1)),AA n>2 where n is a positive integer.

When n is a positive integer,then (n^(2))! is