Home
Class 12
MATHS
If a,b, p in N and p is prime, then (a +...

If `a,b, p in N` and p is prime, then `(a +b)^(p) - a^(P) -b^(p)` is divisible by

A

p

B

`p^(2)`

C

`1/2p(p-1)`

D

`1/2p(p+1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|20 Videos

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. AIEEE/ JEE Main Papers|59 Videos

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 1 Single Correct Answer Type Questions)|55 Videos

  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Paper|12 Videos

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

Similar Questions

Explore conceptually related problems

If a is any real number and m;n are positive integers; then (i) (ab)^(p)=a^(p)b^(p) (ii) ((a)/(b))^(p)=(a^(p))/(b^(p));b!=0

Let p be an odd prime number and T_p be the following set of 2 x 2 matrices T_p={A=[(a,b),(c,a)]} , a,b,c in {0,1,2,…, p -1} The number of A in T_p such that the trace of A is not divisible by p but det(A) is divisible by p is :

If A ={a,b,c } , find P(A) and n{P(A)} .

Let p be an odd prime number and T_p be the following set of 2 x 2 matrices T_p={A=[(a,b),(c,a)]} , a,b,c in {0,1,2,…, p -1} The number of A in T_p such that det(A) is not divisible by p, is :

If a,b,c are in A.P. and p is a real number and Delta=|(p+c,p+2,p+a),(p+b,p+5,p+b),(p+a,p+8,p+c)| then Delta equals

If P(A) = 2/7 and P(B')=1/3 ," then " P(A') + P(B)=

p is a prime number and n