Show that:

a)

b)

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- Dec 20th 2008, 02:33 PMSeaDivisibility 14
Show that:

a)

b) - Dec 20th 2008, 02:51 PMJhevon
- Dec 20th 2008, 03:52 PMSea
Thanks...but I cannot see the proves...

and , for

I didn't know... - Dec 20th 2008, 04:00 PMJhevon
- Dec 23rd 2008, 02:44 PMSeaQuote:

Show that:

a)

Using the identity

we see that

The second factor cannot be zero. Hence, .

Because and are integers, must be an integer.

and

Thanks Jerry...;):)... - Dec 24th 2008, 01:22 PMSea
- Dec 26th 2008, 11:38 AMHallsofIvy
Jhevon has suggest twice now that you prove the

**contrapositive**: tha tif a does NOT divide b, then does not divide . Why have you not even tried that?

If a does not divide b then b= ma+ k for some k greater than 0 and less than a. . Can you prove that is not a multiple of ?