2. (a-x)(b-x)(c-x)(d-x).........(z-x) = ? & Why?
(a-x)(b-x)(c-x)(d-x).........(z-x) = ? & why?
Submitted by tartle · Added 20 June 2008 · Updated 2 July 2026
Solution:
The expression (a-x)(b-x)(c-x)(d-x)...(z-x) represents the product of linear factors where each factor is of the form (letter-x). If we let x equal any letter from a to z, one of the factors will be (x-x), which equals zero. Therefore, the entire product is zero, as the product of zero and any number is still zero.
Comments (4)
=0 as(x-x)=0 and 0.any no.=0
0 it is zero becuase you would eventually get to (w-x)(x-x)(y-x) the key here being (x-x) which would equal 0 since the product of 0 and anything is still 0 the answer is....yup
assuming that every letter apart from x is anything other than zero it wouldn't work unless all letters were zero.
e.g if a is 5, 5-0 = 5 and 0-0=0
x-x=0; thus, final is 0
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