Question

Using Euclid's division lemma, show that the cube of any positive
integer is of the form 9m or (9m +1) or (9m+8) for some integer m. why we take b=3 here not b=9​

Answer 1

Answer:

If we take b as 3, it will reduce the number of steps.

Step-by-step explanation:

Taking b as 9,

We get possible numbers as 9m+1, 9m+2, 9m+3, ... 9m+8.

So we will have to do the same thing we will do when b=3, but a total of 8 times. This will be too lengthy.

#answerwithquality #BAL

Hope it helps!