X= (x-1)……(x-100)…..(x-a)……(x-z)
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x-x=0 so whole is zero
X= (x-1)……(x-100)…..(x-a)……(x-z)
here ,
x can be a whole number or rational or irrational or even unreal number ,, and ,, the same can be said for the ‘ a’, ‘ b ‘, ‘ c ‘,’ d ‘ … ‘ z ‘ . as I am not bound by any type of restriction to think of a particular group of values of x.
since, X= (x-1)……(x-100)…..(x-a)……(x-z)
=> X={ (x-1) . (x-2) . … . (x-100) . …}{ (x-a) . (x-b) . … . ( x-z ) }
=> X={ A } . { B }
Case1: for A, 1) if x is Whole no. , then A=0 . 2) x is Real but not Whole no. , then A is not 0 .
Case2: for B, 1) if x= Real or Unreal ,but x= a or b or … or z , then B=0 2) x and a,b,c…z are nowhere near each other in the family(say x is Whole or a is Rational etc) or in their family set( say x and abc..z are rational but way different in values) then, B is not 0.
from above we can conclude that,
X=0 ,,,, for Case1.1) and Case2.1) (atleast)
but not X=0 many possiblities.
(x-x) will always be zero 🙂
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