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put this solution on YOUR website!show that the following statement is
:
“
."
first recall some of
relating to
numbers:
-All odd numbers can be expressed as
where
is a whole number.
-Sum or difference of
numbers is
.
-Sum of
and
number is
.
also recall that:
-A number
by
, when the number formed by the last two right hand digit is divisible by
.
-Or, a number is
by
, if its two last digits are
or they make a
, which is divisible by
.
Any integer
can be put into
of the four cases
,
,
, and
.
Since
and
are
, only the cases
and
need be considered.
that
is the
number. Then
has a factor of
and
has a factor of
; that is,
is divisible by
.
If we choose
numbers, let’s say
and
, and
their squares (
in this case) we will find that the
is
by
.
….
…… => ..
by
.
If
and
are
they have the form
and
.
Then
, which has a
of
when divided by
and so can not be equal to
, which is exactly divisible by
.
Therefore the
that
is
is
.
Since
that
of the terms
, one of
and
, and
.
(