Home
Class 12
MATHS
Show that 3^(2008)+4^(2009) can be writt...

Show that `3^(2008)+4^(2009)` can be written as a product of two positive integers each of which is larger than `2009^(182)`.

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (section-I) Objective type question (Subjective Type Questions)|8 Videos

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos

Similar Questions

Explore conceptually related problems

If x^(2)+4xy+4y^(2)+4x+cy+3 can be written as the product of two linear factors then c=

The expression x^(2)-x-12 can be written as the product of two binomial factors with integer coefficients. One of the binomials is (x+3) . Which of the following is the other binomia ?

Find all pairs of consecutive even positive integers, both of which are larger than 8, such that their sum is less than 25.

Find all pairs of consecutive even positive integers, both of which are larger than 5, such that their sum is less than 23.

If n is a positive integer, show that: 4^n-3n-1 is divisible by 9

Statement-1: The smallest positive integer n such that n! can be expressed as a product of n-3 consecutive integers, is 6. Statement-2: Product of three consecutive integers is divisible by 6.

If n is a positive integer, show that 4^n -3n -1 is divisible by 9

The number of positive integers 'n' for which 3n-4, 4n-5 and 5n - 3 are all primes is:

If a and b are positive integers such that a^(2)-b^(4)=2009, find a+b