Question

Find the value of
(x-a)(x-b)...(x-z)

Answer 1

think we can do it like this,

We have to find,

(X-A)(X-B)(X-C)....(X-Y)(X-Z)

= (X-A)(X-B)(X-C)(X-D)....(X-W)(X-X)(X-Y)(X-Z)

= (X-A)(X-B)(X-C)(X-D)....(X-W)(0)(X-Y)(X-Z) (since X-X = 0)

= 0 [Product of any term multiplied with zero always results in zero].

Hence the answer is zero.

Answer 2

The value of ( x - a ) ( x - b ) . . . ( x - z ) = 0

Given : ( x - a ) ( x - b ) . . . ( x - z )

To find : The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

( x - a ) ( x - b ) . . . ( x - z )

Step 2 of 2 :

Find the value

( x - a ) ( x - b ) . . . ( x - z )

= ( x - a ) ( x - b ) . . . ( x - w ) ( x - x ) ( x - y ) ( x - z )

= ( x - a ) ( x - b ) . . . ( x - w ) × 0 × ( x - y ) ( x - z )

= 0

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