x2+x-(a+1)(a+2)-এর উৎপাদক -

A (x-a- 1)(x-a+1)

B (x+a+1)(x-a- 2)

C (x-a- 1)(x-a+1)

D (x-a- 1)(x+a+2)

Solution

Correct Answer: Option D

x²+x-(a + 1) (a + 2)
= x²+x-(a + 1) (a + 1 + 1)
= x² + x-p(p+1) [ধরি (a+1)=p]
= x² + x-p²-p
=x²-p²+x-p
=(x-p) (x+p)+(x-p)
=(x-p)(x+p+1)
= {x-(a+1)} {x+(a+1)+1}
=(x-a-1) (x +a+2)

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