Prove that x^(n)-y^(n) is divisible by (...

Prove that `x^(n)-y^(n)` is divisible by (x-y) for all `n""inNN`

MISCELLANEOUS EXAMPLES
CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2018 (GROUP - D)|9 Videos
MISCELLANEOUS EXAMPLES
CHHAYA PUBLICATION|Exercise WBJEE 2018|30 Videos
MISCELLANEOUS EXAMPLES
CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2018 (GROUP - B)|14 Videos
METHOD OF SUBSTITUTION
CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
ORDER AND DEGREE OF DIFFERENTIAL EQUATION
CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

Using the principle of mathematical induction. Prove that (x^(n)-y^(n)) is divisible by (x-y) for all n in N .

Using the principle of mathematical induction ,prove that x^n-y^n is divisible by (x-y) for all n in N .

If x and are two real numbers, then prove by mathematical induction that (x^(n)-y^(n)) is divisible by (x-y) for all ninNN .

Prove that 2.7^(n)+ 3.5^(n)-5 is divisible by 24 for all n in N

Using the principle of mathematical induction, prove that (2^(3n)-1) is divisible by 7 for all n in N

Prove by induction that n(n+1)(2n+1) is divisible by 6 for all ninNN .

Prove that (25)^(n+1)-24n+5735 is divisible by (24)^2 for all n=1,2,...

Prove that (n !)! is divisible by (n !)^((n-1)!)

Prove by mathematical induction that (11^(n+2)+12^(2n+1)) is divisible by 133 for all non-negative integers.

By the principle of mathematical induction prove that (5^(2n)-1) is always divisible by 24 for all positive integral values of n.