Question

(a-x)(b-x)(c-x)(d-x)..........(z-x)=?
the simplest way to answer is?

Answer 1

at the end we have x-x
the value of x-x is 0
any thing multiplied by 0 is 0
hence (a-x)(b-x)(c-x)....(y-x)(z-x)=0

Answer 2

Answer:

$( a - x ) ( b - x ) ( c - x ) ( d - x ) \dots \ldots \ldots ( z - x ) = 0$

Solution:

Given that

$\begin{array} { l } { ( a - x ) ( b - x ) ( c - x ) ( d - x ) \ldots \ldots \ldots ( z - x ) = ? } \\\\ { ( a - x ) ( b - x ) ( c - x ) ( d - x ) ( e - x ) ( f - x ) \dots \ldots ( u - x ) ( v - x ) ( w - x ) ( x - x ) ( y - x ) ( z - x ) } \end{array}$

Here the value of

$x-x=0$

Hence the total expression is equals to zero.

$(a-x)(b-x)(c-x)(d-x)(e-x)(f-x)\dots \dots \dots (u-x)(v-x)(w-x)(0)(y-x)(z-x)\\\\(a-x)(b-x)(c-x)(d-x)(e-x)(f-x)\dots \dots \dots \times 0\\\\0=0.$

Hence, the whole expression will be 0.

$( a - x ) ( b - x ) ( c - x ) ( d - x ) \dots \ldots \ldots ( z - x ) = 0$

Hence the answer is 0.