Home
Class 10
MATHS
Use Euclid's division lemma to show that...

Use Euclid's division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8.

Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    SWAN PUBLICATION|Exercise Exercise 1.2|15 Videos
  • REAL NUMBERS

    SWAN PUBLICATION|Exercise Exercise 1.3|5 Videos
  • QUADRATIC EQUATIONS

    SWAN PUBLICATION|Exercise EXERCISE 4.4|8 Videos
  • Some Applications of Trigonometry

    SWAN PUBLICATION|Exercise EXERCISE 9.1|14 Videos

Similar Questions

Explore conceptually related problems

Use Euclid's division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m.

For some integer m, every even integer is of the form:

Show that any positive odd integer is of the form 6q + 1 or 6q + 3 or 6q + 5, where q is some integer.

Find the factors of 3m^2 + 9m + 6 .

If n is any positive integer , show that 2^(3n +3) -7n - 8 is divisible by 49 .

State true or false,for any integers m, m^2,< m^3 ,why?

Find the ratio of: 9m to 27 cm

Show that the sum of the cubes of any number of consecutive integers is divisible by sum of those integers.

Show that 9^(n+1) -8n -9 is divisible by 64, whenever n is a positive integer.