Home
Class 11
MATHS
If a and b are distinct integers then p...

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.

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise QUESTIONS FROM NCERT EXEMPLAR|5 Videos
  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise EXERCISE|9 Videos
  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise EXERCISE 8.2|12 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

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

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

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

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

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

If a>b and n is a positive integer,then prove that a^(n)-b^(n)>n(ab)^((n-1)/2)(a-b)

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