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Q.

What will be the value of 21 x 2 −2x+ 1 21 ?


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a

1 21 (21x−1) 2

b

1 12 (21x−1) 2

c

1 22 (21x−1) 2

d

1 25 (21x−1) 2  

answer is A.

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Detailed Solution

We have to find the value of 21 x 2 −2x+ 1 21 .
We know that,
x 2 +(a+b)x+ab (Using middle term factorization where a, b)
Factoring the given polynomial expression,
=21 x 2 −2x+ 1 21   =21 x 2 −x−x+ 1 21   =21x(x− 1 21 )−1(x− 1 21 )   =(21x−1)(x− 1 21 )   =(21x−1)( 21x−1 21 ) = 1 21 (21x−1) 2
So, the value of 21 x 2 −2x+ 1 21 is 1 21 (21x−1) 2 .
Therefore, option 1 is correct.
 
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What will be the value of 21 x 2 −2x+ 1 21 ?